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Finding the Fourth Proportional to 1,275.10, 1,757.97 and 921.53

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Solution

The fourth proportional to 1,275.10, 1,757.97 and 921.53 is: 1,270.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.10 : 1,757.97 = 921.53 : x
  2. Step 2: Convert to fraction form
    1,275.10/1,757.97 = 921.53/x
  3. Step 3: Cross multiply
    1,275.10x = 1,757.97 × 921.53
  4. Step 4: Simplify right side
    1,275.10x = 1,620,026.49
  5. Step 5: Solve for x
    x = 1,620,026.49/1,275.10
  6. Step 6: Final answer
    x = 1,270.51

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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.