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Finding the Fourth Proportional to 749.84, 1,120.12 and 576.44

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Solution

The fourth proportional to 749.84, 1,120.12 and 576.44 is: 861.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.84 : 1,120.12 = 576.44 : x
  2. Step 2: Convert to fraction form
    749.84/1,120.12 = 576.44/x
  3. Step 3: Cross multiply
    749.84x = 1,120.12 × 576.44
  4. Step 4: Simplify right side
    749.84x = 645,681.97
  5. Step 5: Solve for x
    x = 645,681.97/749.84
  6. Step 6: Final answer
    x = 861.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.