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Finding the Fourth Proportional to 557.85, 833.48 and 538.71

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Solution

The fourth proportional to 557.85, 833.48 and 538.71 is: 804.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.85 : 833.48 = 538.71 : x
  2. Step 2: Convert to fraction form
    557.85/833.48 = 538.71/x
  3. Step 3: Cross multiply
    557.85x = 833.48 × 538.71
  4. Step 4: Simplify right side
    557.85x = 449,001.32
  5. Step 5: Solve for x
    x = 449,001.32/557.85
  6. Step 6: Final answer
    x = 804.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.