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Finding the Fourth Proportional to 488.56, 728.20 and 475.58

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Solution

The fourth proportional to 488.56, 728.20 and 475.58 is: 708.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.56 : 728.20 = 475.58 : x
  2. Step 2: Convert to fraction form
    488.56/728.20 = 475.58/x
  3. Step 3: Cross multiply
    488.56x = 728.20 × 475.58
  4. Step 4: Simplify right side
    488.56x = 346,317.36
  5. Step 5: Solve for x
    x = 346,317.36/488.56
  6. Step 6: Final answer
    x = 708.85

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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.