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Finding the Fourth Proportional to 488.57, 672.87 and 487.08

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Solution

The fourth proportional to 488.57, 672.87 and 487.08 is: 670.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.57 : 672.87 = 487.08 : x
  2. Step 2: Convert to fraction form
    488.57/672.87 = 487.08/x
  3. Step 3: Cross multiply
    488.57x = 672.87 × 487.08
  4. Step 4: Simplify right side
    488.57x = 327,739.08
  5. Step 5: Solve for x
    x = 327,739.08/488.57
  6. Step 6: Final answer
    x = 670.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.