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Finding the Fourth Proportional to 598.72, 821.82 and 531.76

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Solution

The fourth proportional to 598.72, 821.82 and 531.76 is: 729.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.72 : 821.82 = 531.76 : x
  2. Step 2: Convert to fraction form
    598.72/821.82 = 531.76/x
  3. Step 3: Cross multiply
    598.72x = 821.82 × 531.76
  4. Step 4: Simplify right side
    598.72x = 437,011.00
  5. Step 5: Solve for x
    x = 437,011.00/598.72
  6. Step 6: Final answer
    x = 729.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.