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Finding the Fourth Proportional to 897.92, 1,347.86 and 679.22

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Solution

The fourth proportional to 897.92, 1,347.86 and 679.22 is: 1,019.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.92 : 1,347.86 = 679.22 : x
  2. Step 2: Convert to fraction form
    897.92/1,347.86 = 679.22/x
  3. Step 3: Cross multiply
    897.92x = 1,347.86 × 679.22
  4. Step 4: Simplify right side
    897.92x = 915,493.47
  5. Step 5: Solve for x
    x = 915,493.47/897.92
  6. Step 6: Final answer
    x = 1,019.57

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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.