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Finding the Fourth Proportional to 1,679.01, 2,316.76 and 932.86

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Solution

The fourth proportional to 1,679.01, 2,316.76 and 932.86 is: 1,287.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.01 : 2,316.76 = 932.86 : x
  2. Step 2: Convert to fraction form
    1,679.01/2,316.76 = 932.86/x
  3. Step 3: Cross multiply
    1,679.01x = 2,316.76 × 932.86
  4. Step 4: Simplify right side
    1,679.01x = 2,161,212.73
  5. Step 5: Solve for x
    x = 2,161,212.73/1,679.01
  6. Step 6: Final answer
    x = 1,287.19

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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.