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Finding the Fourth Proportional to 491.26, 738.26 and 458.76

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Solution

The fourth proportional to 491.26, 738.26 and 458.76 is: 689.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.26 : 738.26 = 458.76 : x
  2. Step 2: Convert to fraction form
    491.26/738.26 = 458.76/x
  3. Step 3: Cross multiply
    491.26x = 738.26 × 458.76
  4. Step 4: Simplify right side
    491.26x = 338,681.86
  5. Step 5: Solve for x
    x = 338,681.86/491.26
  6. Step 6: Final answer
    x = 689.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.