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Finding the Fourth Proportional to 572.81, 854.92 and 491.81

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Solution

The fourth proportional to 572.81, 854.92 and 491.81 is: 734.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.81 : 854.92 = 491.81 : x
  2. Step 2: Convert to fraction form
    572.81/854.92 = 491.81/x
  3. Step 3: Cross multiply
    572.81x = 854.92 × 491.81
  4. Step 4: Simplify right side
    572.81x = 420,454.55
  5. Step 5: Solve for x
    x = 420,454.55/572.81
  6. Step 6: Final answer
    x = 734.03

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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.