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Finding the Fourth Proportional to 1,588.52, 2,382.93 and 418.53

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Solution

The fourth proportional to 1,588.52, 2,382.93 and 418.53 is: 627.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.52 : 2,382.93 = 418.53 : x
  2. Step 2: Convert to fraction form
    1,588.52/2,382.93 = 418.53/x
  3. Step 3: Cross multiply
    1,588.52x = 2,382.93 × 418.53
  4. Step 4: Simplify right side
    1,588.52x = 997,327.16
  5. Step 5: Solve for x
    x = 997,327.16/1,588.52
  6. Step 6: Final answer
    x = 627.83

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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.