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Finding the Fourth Proportional to 488.50, 672.08 and 426.47

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Solution

The fourth proportional to 488.50, 672.08 and 426.47 is: 586.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.50 : 672.08 = 426.47 : x
  2. Step 2: Convert to fraction form
    488.50/672.08 = 426.47/x
  3. Step 3: Cross multiply
    488.50x = 672.08 × 426.47
  4. Step 4: Simplify right side
    488.50x = 286,623.10
  5. Step 5: Solve for x
    x = 286,623.10/488.50
  6. Step 6: Final answer
    x = 586.74

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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.