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Finding the Fourth Proportional to 1,585.54, 2,377.44 and 489.60

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Solution

The fourth proportional to 1,585.54, 2,377.44 and 489.60 is: 734.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.54 : 2,377.44 = 489.60 : x
  2. Step 2: Convert to fraction form
    1,585.54/2,377.44 = 489.60/x
  3. Step 3: Cross multiply
    1,585.54x = 2,377.44 × 489.60
  4. Step 4: Simplify right side
    1,585.54x = 1,163,994.62
  5. Step 5: Solve for x
    x = 1,163,994.62/1,585.54
  6. Step 6: Final answer
    x = 734.13

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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.