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Finding the Fourth Proportional to 580.61, 801.61 and 359.88

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Solution

The fourth proportional to 580.61, 801.61 and 359.88 is: 496.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.61 : 801.61 = 359.88 : x
  2. Step 2: Convert to fraction form
    580.61/801.61 = 359.88/x
  3. Step 3: Cross multiply
    580.61x = 801.61 × 359.88
  4. Step 4: Simplify right side
    580.61x = 288,483.41
  5. Step 5: Solve for x
    x = 288,483.41/580.61
  6. Step 6: Final answer
    x = 496.86

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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.