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Finding the Fourth Proportional to 1,170.52, 1,615.48 and 673.15

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Solution

The fourth proportional to 1,170.52, 1,615.48 and 673.15 is: 929.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.52 : 1,615.48 = 673.15 : x
  2. Step 2: Convert to fraction form
    1,170.52/1,615.48 = 673.15/x
  3. Step 3: Cross multiply
    1,170.52x = 1,615.48 × 673.15
  4. Step 4: Simplify right side
    1,170.52x = 1,087,463.22
  5. Step 5: Solve for x
    x = 1,087,463.22/1,170.52
  6. Step 6: Final answer
    x = 929.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.