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Finding the Fourth Proportional to 488.14, 672.52 and 465.10

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Solution

The fourth proportional to 488.14, 672.52 and 465.10 is: 640.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.14 : 672.52 = 465.10 : x
  2. Step 2: Convert to fraction form
    488.14/672.52 = 465.10/x
  3. Step 3: Cross multiply
    488.14x = 672.52 × 465.10
  4. Step 4: Simplify right side
    488.14x = 312,789.05
  5. Step 5: Solve for x
    x = 312,789.05/488.14
  6. Step 6: Final answer
    x = 640.78

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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.