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Finding the Fourth Proportional to 746.10, 1,118.19 and 574.26

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Solution

The fourth proportional to 746.10, 1,118.19 and 574.26 is: 860.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.10 : 1,118.19 = 574.26 : x
  2. Step 2: Convert to fraction form
    746.10/1,118.19 = 574.26/x
  3. Step 3: Cross multiply
    746.10x = 1,118.19 × 574.26
  4. Step 4: Simplify right side
    746.10x = 642,131.79
  5. Step 5: Solve for x
    x = 642,131.79/746.10
  6. Step 6: Final answer
    x = 860.65

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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.