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Finding the Fourth Proportional to 746.83, 1,118.18 and 379.83

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Solution

The fourth proportional to 746.83, 1,118.18 and 379.83 is: 568.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.83 : 1,118.18 = 379.83 : x
  2. Step 2: Convert to fraction form
    746.83/1,118.18 = 379.83/x
  3. Step 3: Cross multiply
    746.83x = 1,118.18 × 379.83
  4. Step 4: Simplify right side
    746.83x = 424,723.45
  5. Step 5: Solve for x
    x = 424,723.45/746.83
  6. Step 6: Final answer
    x = 568.70

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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.