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Finding the Fourth Proportional to 514.32, 709.84 and 431.28

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Solution

The fourth proportional to 514.32, 709.84 and 431.28 is: 595.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.32 : 709.84 = 431.28 : x
  2. Step 2: Convert to fraction form
    514.32/709.84 = 431.28/x
  3. Step 3: Cross multiply
    514.32x = 709.84 × 431.28
  4. Step 4: Simplify right side
    514.32x = 306,139.80
  5. Step 5: Solve for x
    x = 306,139.80/514.32
  6. Step 6: Final answer
    x = 595.23

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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.