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Finding the Fourth Proportional to 900.72, 1,349.34 and 534.39

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Solution

The fourth proportional to 900.72, 1,349.34 and 534.39 is: 800.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.72 : 1,349.34 = 534.39 : x
  2. Step 2: Convert to fraction form
    900.72/1,349.34 = 534.39/x
  3. Step 3: Cross multiply
    900.72x = 1,349.34 × 534.39
  4. Step 4: Simplify right side
    900.72x = 721,073.80
  5. Step 5: Solve for x
    x = 721,073.80/900.72
  6. Step 6: Final answer
    x = 800.55

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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.