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Finding the Fourth Proportional to 1,588.27, 2,382.43 and 492.63

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Solution

The fourth proportional to 1,588.27, 2,382.43 and 492.63 is: 738.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.27 : 2,382.43 = 492.63 : x
  2. Step 2: Convert to fraction form
    1,588.27/2,382.43 = 492.63/x
  3. Step 3: Cross multiply
    1,588.27x = 2,382.43 × 492.63
  4. Step 4: Simplify right side
    1,588.27x = 1,173,656.49
  5. Step 5: Solve for x
    x = 1,173,656.49/1,588.27
  6. Step 6: Final answer
    x = 738.95

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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.