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Finding the Fourth Proportional to 580.68, 800.78 and 392.04

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Solution

The fourth proportional to 580.68, 800.78 and 392.04 is: 540.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.68 : 800.78 = 392.04 : x
  2. Step 2: Convert to fraction form
    580.68/800.78 = 392.04/x
  3. Step 3: Cross multiply
    580.68x = 800.78 × 392.04
  4. Step 4: Simplify right side
    580.68x = 313,935.83
  5. Step 5: Solve for x
    x = 313,935.83/580.68
  6. Step 6: Final answer
    x = 540.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.