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Finding the Fourth Proportional to 767.00, 1,150.29 and 458.61

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Solution

The fourth proportional to 767.00, 1,150.29 and 458.61 is: 687.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.00 : 1,150.29 = 458.61 : x
  2. Step 2: Convert to fraction form
    767.00/1,150.29 = 458.61/x
  3. Step 3: Cross multiply
    767.00x = 1,150.29 × 458.61
  4. Step 4: Simplify right side
    767.00x = 527,534.50
  5. Step 5: Solve for x
    x = 527,534.50/767.00
  6. Step 6: Final answer
    x = 687.79

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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.