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Finding the Fourth Proportional to 1,368.12, 2,052.32 and 637.90

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Solution

The fourth proportional to 1,368.12, 2,052.32 and 637.90 is: 956.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.12 : 2,052.32 = 637.90 : x
  2. Step 2: Convert to fraction form
    1,368.12/2,052.32 = 637.90/x
  3. Step 3: Cross multiply
    1,368.12x = 2,052.32 × 637.90
  4. Step 4: Simplify right side
    1,368.12x = 1,309,174.93
  5. Step 5: Solve for x
    x = 1,309,174.93/1,368.12
  6. Step 6: Final answer
    x = 956.92

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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.