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Finding the Fourth Proportional to 514.28, 772.92 and 428.16

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Solution

The fourth proportional to 514.28, 772.92 and 428.16 is: 643.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.28 : 772.92 = 428.16 : x
  2. Step 2: Convert to fraction form
    514.28/772.92 = 428.16/x
  3. Step 3: Cross multiply
    514.28x = 772.92 × 428.16
  4. Step 4: Simplify right side
    514.28x = 330,933.43
  5. Step 5: Solve for x
    x = 330,933.43/514.28
  6. Step 6: Final answer
    x = 643.49

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1.5x scale

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.