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Finding the Fourth Proportional to 743.18, 1,114.76 and 605.88

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Solution

The fourth proportional to 743.18, 1,114.76 and 605.88 is: 908.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.18 : 1,114.76 = 605.88 : x
  2. Step 2: Convert to fraction form
    743.18/1,114.76 = 605.88/x
  3. Step 3: Cross multiply
    743.18x = 1,114.76 × 605.88
  4. Step 4: Simplify right side
    743.18x = 675,412.30
  5. Step 5: Solve for x
    x = 675,412.30/743.18
  6. Step 6: Final answer
    x = 908.82

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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.