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Finding the Fourth Proportional to 715.84, 1,073.92 and 579.76

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Solution

The fourth proportional to 715.84, 1,073.92 and 579.76 is: 869.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.84 : 1,073.92 = 579.76 : x
  2. Step 2: Convert to fraction form
    715.84/1,073.92 = 579.76/x
  3. Step 3: Cross multiply
    715.84x = 1,073.92 × 579.76
  4. Step 4: Simplify right side
    715.84x = 622,615.86
  5. Step 5: Solve for x
    x = 622,615.86/715.84
  6. Step 6: Final answer
    x = 869.77

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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.