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Finding the Fourth Proportional to 514.61, 709.70 and 356.96

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Solution

The fourth proportional to 514.61, 709.70 and 356.96 is: 492.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.61 : 709.70 = 356.96 : x
  2. Step 2: Convert to fraction form
    514.61/709.70 = 356.96/x
  3. Step 3: Cross multiply
    514.61x = 709.70 × 356.96
  4. Step 4: Simplify right side
    514.61x = 253,331.86
  5. Step 5: Solve for x
    x = 253,331.86/514.61
  6. Step 6: Final answer
    x = 492.28

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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.