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Finding the Fourth Proportional to 488.48, 729.23 and 471.39

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Solution

The fourth proportional to 488.48, 729.23 and 471.39 is: 703.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.48 : 729.23 = 471.39 : x
  2. Step 2: Convert to fraction form
    488.48/729.23 = 471.39/x
  3. Step 3: Cross multiply
    488.48x = 729.23 × 471.39
  4. Step 4: Simplify right side
    488.48x = 343,752.91
  5. Step 5: Solve for x
    x = 343,752.91/488.48
  6. Step 6: Final answer
    x = 703.72

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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.