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Finding the Fourth Proportional to 743.75, 1,025.42 and 610.48

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Solution

The fourth proportional to 743.75, 1,025.42 and 610.48 is: 841.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.75 : 1,025.42 = 610.48 : x
  2. Step 2: Convert to fraction form
    743.75/1,025.42 = 610.48/x
  3. Step 3: Cross multiply
    743.75x = 1,025.42 × 610.48
  4. Step 4: Simplify right side
    743.75x = 625,990.22
  5. Step 5: Solve for x
    x = 625,990.22/743.75
  6. Step 6: Final answer
    x = 841.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.