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Finding the Fourth Proportional to 1,105.02, 1,657.80 and 781.02

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Solution

The fourth proportional to 1,105.02, 1,657.80 and 781.02 is: 1,171.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.02 : 1,657.80 = 781.02 : x
  2. Step 2: Convert to fraction form
    1,105.02/1,657.80 = 781.02/x
  3. Step 3: Cross multiply
    1,105.02x = 1,657.80 × 781.02
  4. Step 4: Simplify right side
    1,105.02x = 1,294,774.96
  5. Step 5: Solve for x
    x = 1,294,774.96/1,105.02
  6. Step 6: Final answer
    x = 1,171.72

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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.