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Finding the Fourth Proportional to 488.43, 672.50 and 414.59

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Solution

The fourth proportional to 488.43, 672.50 and 414.59 is: 570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.43 : 672.50 = 414.59 : x
  2. Step 2: Convert to fraction form
    488.43/672.50 = 414.59/x
  3. Step 3: Cross multiply
    488.43x = 672.50 × 414.59
  4. Step 4: Simplify right side
    488.43x = 278,809.45
  5. Step 5: Solve for x
    x = 278,809.45/488.43
  6. Step 6: Final answer
    x = 570.83

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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.