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Finding the Fourth Proportional to 782.13, 1,171.65 and 521.36

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Solution

The fourth proportional to 782.13, 1,171.65 and 521.36 is: 781.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.13 : 1,171.65 = 521.36 : x
  2. Step 2: Convert to fraction form
    782.13/1,171.65 = 521.36/x
  3. Step 3: Cross multiply
    782.13x = 1,171.65 × 521.36
  4. Step 4: Simplify right side
    782.13x = 610,845.59
  5. Step 5: Solve for x
    x = 610,845.59/782.13
  6. Step 6: Final answer
    x = 781.00

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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.