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Finding the Fourth Proportional to 498.74, 743.75 and 471.44

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Solution

The fourth proportional to 498.74, 743.75 and 471.44 is: 703.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.74 : 743.75 = 471.44 : x
  2. Step 2: Convert to fraction form
    498.74/743.75 = 471.44/x
  3. Step 3: Cross multiply
    498.74x = 743.75 × 471.44
  4. Step 4: Simplify right side
    498.74x = 350,636.68
  5. Step 5: Solve for x
    x = 350,636.68/498.74
  6. Step 6: Final answer
    x = 703.05

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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.