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Finding the Fourth Proportional to 921.70, 1,270.24 and 763.85

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Solution

The fourth proportional to 921.70, 1,270.24 and 763.85 is: 1,052.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.70 : 1,270.24 = 763.85 : x
  2. Step 2: Convert to fraction form
    921.70/1,270.24 = 763.85/x
  3. Step 3: Cross multiply
    921.70x = 1,270.24 × 763.85
  4. Step 4: Simplify right side
    921.70x = 970,272.82
  5. Step 5: Solve for x
    x = 970,272.82/921.70
  6. Step 6: Final answer
    x = 1,052.70

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1.5x scale

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.