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Finding the Fourth Proportional to 1,255.84, 1,883.28 and 742.24

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Solution

The fourth proportional to 1,255.84, 1,883.28 and 742.24 is: 1,113.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.84 : 1,883.28 = 742.24 : x
  2. Step 2: Convert to fraction form
    1,255.84/1,883.28 = 742.24/x
  3. Step 3: Cross multiply
    1,255.84x = 1,883.28 × 742.24
  4. Step 4: Simplify right side
    1,255.84x = 1,397,845.75
  5. Step 5: Solve for x
    x = 1,397,845.75/1,255.84
  6. Step 6: Final answer
    x = 1,113.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.