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Finding the Fourth Proportional to 918.23, 1,377.54 and 456.26

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Solution

The fourth proportional to 918.23, 1,377.54 and 456.26 is: 684.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.23 : 1,377.54 = 456.26 : x
  2. Step 2: Convert to fraction form
    918.23/1,377.54 = 456.26/x
  3. Step 3: Cross multiply
    918.23x = 1,377.54 × 456.26
  4. Step 4: Simplify right side
    918.23x = 628,516.40
  5. Step 5: Solve for x
    x = 628,516.40/918.23
  6. Step 6: Final answer
    x = 684.49

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Double scale
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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.