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Finding the Fourth Proportional to 514.20, 767.76 and 475.32

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Solution

The fourth proportional to 514.20, 767.76 and 475.32 is: 709.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.20 : 767.76 = 475.32 : x
  2. Step 2: Convert to fraction form
    514.20/767.76 = 475.32/x
  3. Step 3: Cross multiply
    514.20x = 767.76 × 475.32
  4. Step 4: Simplify right side
    514.20x = 364,931.68
  5. Step 5: Solve for x
    x = 364,931.68/514.20
  6. Step 6: Final answer
    x = 709.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.