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Finding the Fourth Proportional to 781.59, 1,171.08 and 549.99

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Solution

The fourth proportional to 781.59, 1,171.08 and 549.99 is: 824.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.59 : 1,171.08 = 549.99 : x
  2. Step 2: Convert to fraction form
    781.59/1,171.08 = 549.99/x
  3. Step 3: Cross multiply
    781.59x = 1,171.08 × 549.99
  4. Step 4: Simplify right side
    781.59x = 644,078.20
  5. Step 5: Solve for x
    x = 644,078.20/781.59
  6. Step 6: Final answer
    x = 824.07

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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.