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Finding the Fourth Proportional to 581.41, 801.57 and 498.16

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Solution

The fourth proportional to 581.41, 801.57 and 498.16 is: 686.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.41 : 801.57 = 498.16 : x
  2. Step 2: Convert to fraction form
    581.41/801.57 = 498.16/x
  3. Step 3: Cross multiply
    581.41x = 801.57 × 498.16
  4. Step 4: Simplify right side
    581.41x = 399,310.11
  5. Step 5: Solve for x
    x = 399,310.11/581.41
  6. Step 6: Final answer
    x = 686.80

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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.