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Finding the Fourth Proportional to 507.07, 759.79 and 458.47

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Solution

The fourth proportional to 507.07, 759.79 and 458.47 is: 686.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.07 : 759.79 = 458.47 : x
  2. Step 2: Convert to fraction form
    507.07/759.79 = 458.47/x
  3. Step 3: Cross multiply
    507.07x = 759.79 × 458.47
  4. Step 4: Simplify right side
    507.07x = 348,340.92
  5. Step 5: Solve for x
    x = 348,340.92/507.07
  6. Step 6: Final answer
    x = 686.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.