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Finding the Fourth Proportional to 749.82, 1,034.88 and 572.49

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Solution

The fourth proportional to 749.82, 1,034.88 and 572.49 is: 790.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.82 : 1,034.88 = 572.49 : x
  2. Step 2: Convert to fraction form
    749.82/1,034.88 = 572.49/x
  3. Step 3: Cross multiply
    749.82x = 1,034.88 × 572.49
  4. Step 4: Simplify right side
    749.82x = 592,455.59
  5. Step 5: Solve for x
    x = 592,455.59/749.82
  6. Step 6: Final answer
    x = 790.13

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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.