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Finding the Fourth Proportional to 1,381.57, 2,071.35 and 650.74

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Solution

The fourth proportional to 1,381.57, 2,071.35 and 650.74 is: 975.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.57 : 2,071.35 = 650.74 : x
  2. Step 2: Convert to fraction form
    1,381.57/2,071.35 = 650.74/x
  3. Step 3: Cross multiply
    1,381.57x = 2,071.35 × 650.74
  4. Step 4: Simplify right side
    1,381.57x = 1,347,910.30
  5. Step 5: Solve for x
    x = 1,347,910.30/1,381.57
  6. Step 6: Final answer
    x = 975.64

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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.