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Finding the Fourth Proportional to 782.81, 1,174.31 and 458.18

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Solution

The fourth proportional to 782.81, 1,174.31 and 458.18 is: 687.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.81 : 1,174.31 = 458.18 : x
  2. Step 2: Convert to fraction form
    782.81/1,174.31 = 458.18/x
  3. Step 3: Cross multiply
    782.81x = 1,174.31 × 458.18
  4. Step 4: Simplify right side
    782.81x = 538,043.06
  5. Step 5: Solve for x
    x = 538,043.06/782.81
  6. Step 6: Final answer
    x = 687.32

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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.