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Finding the Fourth Proportional to 1,130.97, 1,561.25 and 665.25

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Solution

The fourth proportional to 1,130.97, 1,561.25 and 665.25 is: 918.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.97 : 1,561.25 = 665.25 : x
  2. Step 2: Convert to fraction form
    1,130.97/1,561.25 = 665.25/x
  3. Step 3: Cross multiply
    1,130.97x = 1,561.25 × 665.25
  4. Step 4: Simplify right side
    1,130.97x = 1,038,618.24
  5. Step 5: Solve for x
    x = 1,038,618.24/1,130.97
  6. Step 6: Final answer
    x = 918.34

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.