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Finding the Fourth Proportional to 475.31, 711.58 and 354.11

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Solution

The fourth proportional to 475.31, 711.58 and 354.11 is: 530.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.31 : 711.58 = 354.11 : x
  2. Step 2: Convert to fraction form
    475.31/711.58 = 354.11/x
  3. Step 3: Cross multiply
    475.31x = 711.58 × 354.11
  4. Step 4: Simplify right side
    475.31x = 251,977.59
  5. Step 5: Solve for x
    x = 251,977.59/475.31
  6. Step 6: Final answer
    x = 530.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.