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Finding the Fourth Proportional to 1,585.07, 2,377.61 and 489.41

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Solution

The fourth proportional to 1,585.07, 2,377.61 and 489.41 is: 734.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.07 : 2,377.61 = 489.41 : x
  2. Step 2: Convert to fraction form
    1,585.07/2,377.61 = 489.41/x
  3. Step 3: Cross multiply
    1,585.07x = 2,377.61 × 489.41
  4. Step 4: Simplify right side
    1,585.07x = 1,163,631.44
  5. Step 5: Solve for x
    x = 1,163,631.44/1,585.07
  6. Step 6: Final answer
    x = 734.12

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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.