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Finding the Fourth Proportional to 475.76, 652.35 and 428.94

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Solution

The fourth proportional to 475.76, 652.35 and 428.94 is: 588.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.76 : 652.35 = 428.94 : x
  2. Step 2: Convert to fraction form
    475.76/652.35 = 428.94/x
  3. Step 3: Cross multiply
    475.76x = 652.35 × 428.94
  4. Step 4: Simplify right side
    475.76x = 279,819.01
  5. Step 5: Solve for x
    x = 279,819.01/475.76
  6. Step 6: Final answer
    x = 588.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.