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Finding the Fourth Proportional to 743.92, 1,117.91 and 397.50

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Solution

The fourth proportional to 743.92, 1,117.91 and 397.50 is: 597.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.92 : 1,117.91 = 397.50 : x
  2. Step 2: Convert to fraction form
    743.92/1,117.91 = 397.50/x
  3. Step 3: Cross multiply
    743.92x = 1,117.91 × 397.50
  4. Step 4: Simplify right side
    743.92x = 444,369.23
  5. Step 5: Solve for x
    x = 444,369.23/743.92
  6. Step 6: Final answer
    x = 597.33

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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.