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Finding the Fourth Proportional to 537.48, 740.80 and 491

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Solution

The fourth proportional to 537.48, 740.80 and 491 is: 676.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.48 : 740.80 = 491 : x
  2. Step 2: Convert to fraction form
    537.48/740.80 = 491/x
  3. Step 3: Cross multiply
    537.48x = 740.80 × 491
  4. Step 4: Simplify right side
    537.48x = 363,732.80
  5. Step 5: Solve for x
    x = 363,732.80/537.48
  6. Step 6: Final answer
    x = 676.74

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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.