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Finding the Fourth Proportional to 746.65, 1,118.94 and 617.46

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Solution

The fourth proportional to 746.65, 1,118.94 and 617.46 is: 925.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.65 : 1,118.94 = 617.46 : x
  2. Step 2: Convert to fraction form
    746.65/1,118.94 = 617.46/x
  3. Step 3: Cross multiply
    746.65x = 1,118.94 × 617.46
  4. Step 4: Simplify right side
    746.65x = 690,900.69
  5. Step 5: Solve for x
    x = 690,900.69/746.65
  6. Step 6: Final answer
    x = 925.33

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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.