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Finding the Fourth Proportional to 859.38, 1,187.49 and 686.10

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Solution

The fourth proportional to 859.38, 1,187.49 and 686.10 is: 948.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.38 : 1,187.49 = 686.10 : x
  2. Step 2: Convert to fraction form
    859.38/1,187.49 = 686.10/x
  3. Step 3: Cross multiply
    859.38x = 1,187.49 × 686.10
  4. Step 4: Simplify right side
    859.38x = 814,736.89
  5. Step 5: Solve for x
    x = 814,736.89/859.38
  6. Step 6: Final answer
    x = 948.05

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Double scale
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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.