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Finding the Fourth Proportional to 589.92, 880.32 and 560.76

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Solution

The fourth proportional to 589.92, 880.32 and 560.76 is: 836.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.92 : 880.32 = 560.76 : x
  2. Step 2: Convert to fraction form
    589.92/880.32 = 560.76/x
  3. Step 3: Cross multiply
    589.92x = 880.32 × 560.76
  4. Step 4: Simplify right side
    589.92x = 493,648.24
  5. Step 5: Solve for x
    x = 493,648.24/589.92
  6. Step 6: Final answer
    x = 836.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.