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Finding the Fourth Proportional to 1,311.43, 1,967.48 and 489.71

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Solution

The fourth proportional to 1,311.43, 1,967.48 and 489.71 is: 734.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.43 : 1,967.48 = 489.71 : x
  2. Step 2: Convert to fraction form
    1,311.43/1,967.48 = 489.71/x
  3. Step 3: Cross multiply
    1,311.43x = 1,967.48 × 489.71
  4. Step 4: Simplify right side
    1,311.43x = 963,482.34
  5. Step 5: Solve for x
    x = 963,482.34/1,311.43
  6. Step 6: Final answer
    x = 734.68

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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.