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Finding the Fourth Proportional to 507.64, 765.02 and 458.92

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Solution

The fourth proportional to 507.64, 765.02 and 458.92 is: 691.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.64 : 765.02 = 458.92 : x
  2. Step 2: Convert to fraction form
    507.64/765.02 = 458.92/x
  3. Step 3: Cross multiply
    507.64x = 765.02 × 458.92
  4. Step 4: Simplify right side
    507.64x = 351,082.98
  5. Step 5: Solve for x
    x = 351,082.98/507.64
  6. Step 6: Final answer
    x = 691.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.