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Finding the Fourth Proportional to 921.24, 1,270.46 and 781.20

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Solution

The fourth proportional to 921.24, 1,270.46 and 781.20 is: 1,077.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.24 : 1,270.46 = 781.20 : x
  2. Step 2: Convert to fraction form
    921.24/1,270.46 = 781.20/x
  3. Step 3: Cross multiply
    921.24x = 1,270.46 × 781.20
  4. Step 4: Simplify right side
    921.24x = 992,483.35
  5. Step 5: Solve for x
    x = 992,483.35/921.24
  6. Step 6: Final answer
    x = 1,077.33

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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.