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Finding the Fourth Proportional to 518.31, 714.42 and 407.61

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Solution

The fourth proportional to 518.31, 714.42 and 407.61 is: 561.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.31 : 714.42 = 407.61 : x
  2. Step 2: Convert to fraction form
    518.31/714.42 = 407.61/x
  3. Step 3: Cross multiply
    518.31x = 714.42 × 407.61
  4. Step 4: Simplify right side
    518.31x = 291,204.74
  5. Step 5: Solve for x
    x = 291,204.74/518.31
  6. Step 6: Final answer
    x = 561.84

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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.