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Finding the Fourth Proportional to 488.26, 728.38 and 471.79

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Solution

The fourth proportional to 488.26, 728.38 and 471.79 is: 703.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.26 : 728.38 = 471.79 : x
  2. Step 2: Convert to fraction form
    488.26/728.38 = 471.79/x
  3. Step 3: Cross multiply
    488.26x = 728.38 × 471.79
  4. Step 4: Simplify right side
    488.26x = 343,642.40
  5. Step 5: Solve for x
    x = 343,642.40/488.26
  6. Step 6: Final answer
    x = 703.81

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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.