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Finding the Fourth Proportional to 1,588.06, 2,381.65 and 663.42

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Solution

The fourth proportional to 1,588.06, 2,381.65 and 663.42 is: 994.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.06 : 2,381.65 = 663.42 : x
  2. Step 2: Convert to fraction form
    1,588.06/2,381.65 = 663.42/x
  3. Step 3: Cross multiply
    1,588.06x = 2,381.65 × 663.42
  4. Step 4: Simplify right side
    1,588.06x = 1,580,035.20
  5. Step 5: Solve for x
    x = 1,580,035.20/1,588.06
  6. Step 6: Final answer
    x = 994.95

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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.