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Finding the Fourth Proportional to 580.56, 801.24 and 347.64

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Solution

The fourth proportional to 580.56, 801.24 and 347.64 is: 479.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.56 : 801.24 = 347.64 : x
  2. Step 2: Convert to fraction form
    580.56/801.24 = 347.64/x
  3. Step 3: Cross multiply
    580.56x = 801.24 × 347.64
  4. Step 4: Simplify right side
    580.56x = 278,543.07
  5. Step 5: Solve for x
    x = 278,543.07/580.56
  6. Step 6: Final answer
    x = 479.78

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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.