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Finding the Fourth Proportional to 817.48, 1,125.40 and 762.35

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Solution

The fourth proportional to 817.48, 1,125.40 and 762.35 is: 1,049.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.48 : 1,125.40 = 762.35 : x
  2. Step 2: Convert to fraction form
    817.48/1,125.40 = 762.35/x
  3. Step 3: Cross multiply
    817.48x = 1,125.40 × 762.35
  4. Step 4: Simplify right side
    817.48x = 857,948.69
  5. Step 5: Solve for x
    x = 857,948.69/817.48
  6. Step 6: Final answer
    x = 1,049.50

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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.