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Finding the Fourth Proportional to 460.62, 688.05 and 417.24

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Solution

The fourth proportional to 460.62, 688.05 and 417.24 is: 623.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.62 : 688.05 = 417.24 : x
  2. Step 2: Convert to fraction form
    460.62/688.05 = 417.24/x
  3. Step 3: Cross multiply
    460.62x = 688.05 × 417.24
  4. Step 4: Simplify right side
    460.62x = 287,081.98
  5. Step 5: Solve for x
    x = 287,081.98/460.62
  6. Step 6: Final answer
    x = 623.25

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.