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Finding the Fourth Proportional to 407.31, 566.04 and 402.86

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Solution

The fourth proportional to 407.31, 566.04 and 402.86 is: 559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.31 : 566.04 = 402.86 : x
  2. Step 2: Convert to fraction form
    407.31/566.04 = 402.86/x
  3. Step 3: Cross multiply
    407.31x = 566.04 × 402.86
  4. Step 4: Simplify right side
    407.31x = 228,032.04
  5. Step 5: Solve for x
    x = 228,032.04/407.31
  6. Step 6: Final answer
    x = 559.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.