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Finding the Fourth Proportional to 749.57, 1,122.83 and 686.57

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Solution

The fourth proportional to 749.57, 1,122.83 and 686.57 is: 1,028.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.57 : 1,122.83 = 686.57 : x
  2. Step 2: Convert to fraction form
    749.57/1,122.83 = 686.57/x
  3. Step 3: Cross multiply
    749.57x = 1,122.83 × 686.57
  4. Step 4: Simplify right side
    749.57x = 770,897.96
  5. Step 5: Solve for x
    x = 770,897.96/749.57
  6. Step 6: Final answer
    x = 1,028.45

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1.5x scale

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.