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Finding the Fourth Proportional to 781.76, 1,171.02 and 587.06

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Solution

The fourth proportional to 781.76, 1,171.02 and 587.06 is: 879.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.76 : 1,171.02 = 587.06 : x
  2. Step 2: Convert to fraction form
    781.76/1,171.02 = 587.06/x
  3. Step 3: Cross multiply
    781.76x = 1,171.02 × 587.06
  4. Step 4: Simplify right side
    781.76x = 687,459.00
  5. Step 5: Solve for x
    x = 687,459.00/781.76
  6. Step 6: Final answer
    x = 879.37

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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.