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Finding the Fourth Proportional to 898.77, 1,347.84 and 497.97

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Solution

The fourth proportional to 898.77, 1,347.84 and 497.97 is: 746.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.77 : 1,347.84 = 497.97 : x
  2. Step 2: Convert to fraction form
    898.77/1,347.84 = 497.97/x
  3. Step 3: Cross multiply
    898.77x = 1,347.84 × 497.97
  4. Step 4: Simplify right side
    898.77x = 671,187.68
  5. Step 5: Solve for x
    x = 671,187.68/898.77
  6. Step 6: Final answer
    x = 746.78

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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.