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Finding the Fourth Proportional to 572.29, 853.96 and 498.49

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Solution

The fourth proportional to 572.29, 853.96 and 498.49 is: 743.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.29 : 853.96 = 498.49 : x
  2. Step 2: Convert to fraction form
    572.29/853.96 = 498.49/x
  3. Step 3: Cross multiply
    572.29x = 853.96 × 498.49
  4. Step 4: Simplify right side
    572.29x = 425,690.52
  5. Step 5: Solve for x
    x = 425,690.52/572.29
  6. Step 6: Final answer
    x = 743.84

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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.