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Finding the Fourth Proportional to 580.32, 864.80 and 559.68

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Solution

The fourth proportional to 580.32, 864.80 and 559.68 is: 834.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.32 : 864.80 = 559.68 : x
  2. Step 2: Convert to fraction form
    580.32/864.80 = 559.68/x
  3. Step 3: Cross multiply
    580.32x = 864.80 × 559.68
  4. Step 4: Simplify right side
    580.32x = 484,011.26
  5. Step 5: Solve for x
    x = 484,011.26/580.32
  6. Step 6: Final answer
    x = 834.04

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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.