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Finding the Fourth Proportional to 581.76, 801.09 and 498.81

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Solution

The fourth proportional to 581.76, 801.09 and 498.81 is: 686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.76 : 801.09 = 498.81 : x
  2. Step 2: Convert to fraction form
    581.76/801.09 = 498.81/x
  3. Step 3: Cross multiply
    581.76x = 801.09 × 498.81
  4. Step 4: Simplify right side
    581.76x = 399,591.70
  5. Step 5: Solve for x
    x = 399,591.70/581.76
  6. Step 6: Final answer
    x = 686.87

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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.