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Finding the Fourth Proportional to 749.73, 1,124.08 and 384.22

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Solution

The fourth proportional to 749.73, 1,124.08 and 384.22 is: 576.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.73 : 1,124.08 = 384.22 : x
  2. Step 2: Convert to fraction form
    749.73/1,124.08 = 384.22/x
  3. Step 3: Cross multiply
    749.73x = 1,124.08 × 384.22
  4. Step 4: Simplify right side
    749.73x = 431,894.02
  5. Step 5: Solve for x
    x = 431,894.02/749.73
  6. Step 6: Final answer
    x = 576.07

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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.