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Finding the Fourth Proportional to 907.10, 1,251.09 and 781.27

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Solution

The fourth proportional to 907.10, 1,251.09 and 781.27 is: 1,077.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.10 : 1,251.09 = 781.27 : x
  2. Step 2: Convert to fraction form
    907.10/1,251.09 = 781.27/x
  3. Step 3: Cross multiply
    907.10x = 1,251.09 × 781.27
  4. Step 4: Simplify right side
    907.10x = 977,432.83
  5. Step 5: Solve for x
    x = 977,432.83/907.10
  6. Step 6: Final answer
    x = 1,077.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.