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Finding the Fourth Proportional to 921.49, 1,271.54 and 523.13

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Solution

The fourth proportional to 921.49, 1,271.54 and 523.13 is: 721.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.49 : 1,271.54 = 523.13 : x
  2. Step 2: Convert to fraction form
    921.49/1,271.54 = 523.13/x
  3. Step 3: Cross multiply
    921.49x = 1,271.54 × 523.13
  4. Step 4: Simplify right side
    921.49x = 665,180.72
  5. Step 5: Solve for x
    x = 665,180.72/921.49
  6. Step 6: Final answer
    x = 721.85

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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.