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Finding the Fourth Proportional to 507.21, 760.51 and 458.07

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Solution

The fourth proportional to 507.21, 760.51 and 458.07 is: 686.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.21 : 760.51 = 458.07 : x
  2. Step 2: Convert to fraction form
    507.21/760.51 = 458.07/x
  3. Step 3: Cross multiply
    507.21x = 760.51 × 458.07
  4. Step 4: Simplify right side
    507.21x = 348,366.82
  5. Step 5: Solve for x
    x = 348,366.82/507.21
  6. Step 6: Final answer
    x = 686.83

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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.