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Finding the Fourth Proportional to 514.59, 772.07 and 438.14

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Solution

The fourth proportional to 514.59, 772.07 and 438.14 is: 657.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.59 : 772.07 = 438.14 : x
  2. Step 2: Convert to fraction form
    514.59/772.07 = 438.14/x
  3. Step 3: Cross multiply
    514.59x = 772.07 × 438.14
  4. Step 4: Simplify right side
    514.59x = 338,268.70
  5. Step 5: Solve for x
    x = 338,268.70/514.59
  6. Step 6: Final answer
    x = 657.36

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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.