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Finding the Fourth Proportional to 836.11, 1,254.16 and 653.66

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Solution

The fourth proportional to 836.11, 1,254.16 and 653.66 is: 980.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.11 : 1,254.16 = 653.66 : x
  2. Step 2: Convert to fraction form
    836.11/1,254.16 = 653.66/x
  3. Step 3: Cross multiply
    836.11x = 1,254.16 × 653.66
  4. Step 4: Simplify right side
    836.11x = 819,787.89
  5. Step 5: Solve for x
    x = 819,787.89/836.11
  6. Step 6: Final answer
    x = 980.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.