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Finding the Fourth Proportional to 514.95, 772.42 and 437.37

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Solution

The fourth proportional to 514.95, 772.42 and 437.37 is: 656.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.95 : 772.42 = 437.37 : x
  2. Step 2: Convert to fraction form
    514.95/772.42 = 437.37/x
  3. Step 3: Cross multiply
    514.95x = 772.42 × 437.37
  4. Step 4: Simplify right side
    514.95x = 337,833.34
  5. Step 5: Solve for x
    x = 337,833.34/514.95
  6. Step 6: Final answer
    x = 656.05

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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.