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Finding the Fourth Proportional to 491.52, 679.04 and 487.68

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Solution

The fourth proportional to 491.52, 679.04 and 487.68 is: 673.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.52 : 679.04 = 487.68 : x
  2. Step 2: Convert to fraction form
    491.52/679.04 = 487.68/x
  3. Step 3: Cross multiply
    491.52x = 679.04 × 487.68
  4. Step 4: Simplify right side
    491.52x = 331,154.23
  5. Step 5: Solve for x
    x = 331,154.23/491.52
  6. Step 6: Final answer
    x = 673.74

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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.