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Finding the Fourth Proportional to 1,202.42, 1,658.24 and 759.55

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Solution

The fourth proportional to 1,202.42, 1,658.24 and 759.55 is: 1,047.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.42 : 1,658.24 = 759.55 : x
  2. Step 2: Convert to fraction form
    1,202.42/1,658.24 = 759.55/x
  3. Step 3: Cross multiply
    1,202.42x = 1,658.24 × 759.55
  4. Step 4: Simplify right side
    1,202.42x = 1,259,516.19
  5. Step 5: Solve for x
    x = 1,259,516.19/1,202.42
  6. Step 6: Final answer
    x = 1,047.48

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1.5x scale

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.