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Finding the Fourth Proportional to 836.42, 1,151.57 and 718.16

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Solution

The fourth proportional to 836.42, 1,151.57 and 718.16 is: 988.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.42 : 1,151.57 = 718.16 : x
  2. Step 2: Convert to fraction form
    836.42/1,151.57 = 718.16/x
  3. Step 3: Cross multiply
    836.42x = 1,151.57 × 718.16
  4. Step 4: Simplify right side
    836.42x = 827,007.92
  5. Step 5: Solve for x
    x = 827,007.92/836.42
  6. Step 6: Final answer
    x = 988.75

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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.