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Finding the Fourth Proportional to 1,587.95, 2,382.32 and 492.32

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Solution

The fourth proportional to 1,587.95, 2,382.32 and 492.32 is: 738.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.95 : 2,382.32 = 492.32 : x
  2. Step 2: Convert to fraction form
    1,587.95/2,382.32 = 492.32/x
  3. Step 3: Cross multiply
    1,587.95x = 2,382.32 × 492.32
  4. Step 4: Simplify right side
    1,587.95x = 1,172,870.97
  5. Step 5: Solve for x
    x = 1,172,870.97/1,587.95
  6. Step 6: Final answer
    x = 738.61

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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.