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Finding the Fourth Proportional to 862.68, 1,191.24 and 699.06

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Solution

The fourth proportional to 862.68, 1,191.24 and 699.06 is: 965.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.68 : 1,191.24 = 699.06 : x
  2. Step 2: Convert to fraction form
    862.68/1,191.24 = 699.06/x
  3. Step 3: Cross multiply
    862.68x = 1,191.24 × 699.06
  4. Step 4: Simplify right side
    862.68x = 832,748.23
  5. Step 5: Solve for x
    x = 832,748.23/862.68
  6. Step 6: Final answer
    x = 965.30

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1.5x scale

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.