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Finding the Fourth Proportional to 1,270.08, 1,902.56 and 781.76

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Solution

The fourth proportional to 1,270.08, 1,902.56 and 781.76 is: 1,171.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.08 : 1,902.56 = 781.76 : x
  2. Step 2: Convert to fraction form
    1,270.08/1,902.56 = 781.76/x
  3. Step 3: Cross multiply
    1,270.08x = 1,902.56 × 781.76
  4. Step 4: Simplify right side
    1,270.08x = 1,487,345.31
  5. Step 5: Solve for x
    x = 1,487,345.31/1,270.08
  6. Step 6: Final answer
    x = 1,171.06

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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.