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Finding the Fourth Proportional to 1,588.42, 2,381.96 and 492.50

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Solution

The fourth proportional to 1,588.42, 2,381.96 and 492.50 is: 738.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.42 : 2,381.96 = 492.50 : x
  2. Step 2: Convert to fraction form
    1,588.42/2,381.96 = 492.50/x
  3. Step 3: Cross multiply
    1,588.42x = 2,381.96 × 492.50
  4. Step 4: Simplify right side
    1,588.42x = 1,173,115.30
  5. Step 5: Solve for x
    x = 1,173,115.30/1,588.42
  6. Step 6: Final answer
    x = 738.54

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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.