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Finding the Fourth Proportional to 1,108.25, 1,661.37 and 553.13

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Solution

The fourth proportional to 1,108.25, 1,661.37 and 553.13 is: 829.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.25 : 1,661.37 = 553.13 : x
  2. Step 2: Convert to fraction form
    1,108.25/1,661.37 = 553.13/x
  3. Step 3: Cross multiply
    1,108.25x = 1,661.37 × 553.13
  4. Step 4: Simplify right side
    1,108.25x = 918,946.32
  5. Step 5: Solve for x
    x = 918,946.32/1,108.25
  6. Step 6: Final answer
    x = 829.19

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.