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Finding the Fourth Proportional to 1,138.42, 1,707.72 and 489.70

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Solution

The fourth proportional to 1,138.42, 1,707.72 and 489.70 is: 734.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.42 : 1,707.72 = 489.70 : x
  2. Step 2: Convert to fraction form
    1,138.42/1,707.72 = 489.70/x
  3. Step 3: Cross multiply
    1,138.42x = 1,707.72 × 489.70
  4. Step 4: Simplify right side
    1,138.42x = 836,270.48
  5. Step 5: Solve for x
    x = 836,270.48/1,138.42
  6. Step 6: Final answer
    x = 734.59

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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.