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Finding the Fourth Proportional to 517.54, 715.77 and 462.18

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Solution

The fourth proportional to 517.54, 715.77 and 462.18 is: 639.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.54 : 715.77 = 462.18 : x
  2. Step 2: Convert to fraction form
    517.54/715.77 = 462.18/x
  3. Step 3: Cross multiply
    517.54x = 715.77 × 462.18
  4. Step 4: Simplify right side
    517.54x = 330,814.58
  5. Step 5: Solve for x
    x = 330,814.58/517.54
  6. Step 6: Final answer
    x = 639.21

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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.