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Finding the Fourth Proportional to 747.34, 1,031.34 and 436.84

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Solution

The fourth proportional to 747.34, 1,031.34 and 436.84 is: 602.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.34 : 1,031.34 = 436.84 : x
  2. Step 2: Convert to fraction form
    747.34/1,031.34 = 436.84/x
  3. Step 3: Cross multiply
    747.34x = 1,031.34 × 436.84
  4. Step 4: Simplify right side
    747.34x = 450,530.57
  5. Step 5: Solve for x
    x = 450,530.57/747.34
  6. Step 6: Final answer
    x = 602.85

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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.