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Finding the Fourth Proportional to 1,585.26, 2,378.07 and 489.90

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Solution

The fourth proportional to 1,585.26, 2,378.07 and 489.90 is: 734.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.26 : 2,378.07 = 489.90 : x
  2. Step 2: Convert to fraction form
    1,585.26/2,378.07 = 489.90/x
  3. Step 3: Cross multiply
    1,585.26x = 2,378.07 × 489.90
  4. Step 4: Simplify right side
    1,585.26x = 1,165,016.49
  5. Step 5: Solve for x
    x = 1,165,016.49/1,585.26
  6. Step 6: Final answer
    x = 734.91

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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.