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Finding the Fourth Proportional to 836.56, 1,153.74 and 661.60

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Solution

The fourth proportional to 836.56, 1,153.74 and 661.60 is: 912.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.56 : 1,153.74 = 661.60 : x
  2. Step 2: Convert to fraction form
    836.56/1,153.74 = 661.60/x
  3. Step 3: Cross multiply
    836.56x = 1,153.74 × 661.60
  4. Step 4: Simplify right side
    836.56x = 763,314.38
  5. Step 5: Solve for x
    x = 763,314.38/836.56
  6. Step 6: Final answer
    x = 912.44

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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.