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Finding the Fourth Proportional to 507.76, 758.21 and 478.92

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Solution

The fourth proportional to 507.76, 758.21 and 478.92 is: 715.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.76 : 758.21 = 478.92 : x
  2. Step 2: Convert to fraction form
    507.76/758.21 = 478.92/x
  3. Step 3: Cross multiply
    507.76x = 758.21 × 478.92
  4. Step 4: Simplify right side
    507.76x = 363,121.93
  5. Step 5: Solve for x
    x = 363,121.93/507.76
  6. Step 6: Final answer
    x = 715.14

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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.