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Finding the Fourth Proportional to 507.32, 757.12 and 478.88

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Solution

The fourth proportional to 507.32, 757.12 and 478.88 is: 714.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.32 : 757.12 = 478.88 : x
  2. Step 2: Convert to fraction form
    507.32/757.12 = 478.88/x
  3. Step 3: Cross multiply
    507.32x = 757.12 × 478.88
  4. Step 4: Simplify right side
    507.32x = 362,569.63
  5. Step 5: Solve for x
    x = 362,569.63/507.32
  6. Step 6: Final answer
    x = 714.68

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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.