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Finding the Fourth Proportional to 1,162.97, 1,742.86 and 642.19

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Solution

The fourth proportional to 1,162.97, 1,742.86 and 642.19 is: 962.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.97 : 1,742.86 = 642.19 : x
  2. Step 2: Convert to fraction form
    1,162.97/1,742.86 = 642.19/x
  3. Step 3: Cross multiply
    1,162.97x = 1,742.86 × 642.19
  4. Step 4: Simplify right side
    1,162.97x = 1,119,247.26
  5. Step 5: Solve for x
    x = 1,119,247.26/1,162.97
  6. Step 6: Final answer
    x = 962.40

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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.