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Finding the Fourth Proportional to 518.42, 715.77 and 463.07

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Solution

The fourth proportional to 518.42, 715.77 and 463.07 is: 639.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.42 : 715.77 = 463.07 : x
  2. Step 2: Convert to fraction form
    518.42/715.77 = 463.07/x
  3. Step 3: Cross multiply
    518.42x = 715.77 × 463.07
  4. Step 4: Simplify right side
    518.42x = 331,451.61
  5. Step 5: Solve for x
    x = 331,451.61/518.42
  6. Step 6: Final answer
    x = 639.35

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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.