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Finding the Fourth Proportional to 1,270.91, 1,754.39 and 921.53

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Solution

The fourth proportional to 1,270.91, 1,754.39 and 921.53 is: 1,272.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.91 : 1,754.39 = 921.53 : x
  2. Step 2: Convert to fraction form
    1,270.91/1,754.39 = 921.53/x
  3. Step 3: Cross multiply
    1,270.91x = 1,754.39 × 921.53
  4. Step 4: Simplify right side
    1,270.91x = 1,616,723.02
  5. Step 5: Solve for x
    x = 1,616,723.02/1,270.91
  6. Step 6: Final answer
    x = 1,272.10

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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.