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Finding the Fourth Proportional to 836.89, 1,154.54 and 505.13

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Solution

The fourth proportional to 836.89, 1,154.54 and 505.13 is: 696.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.89 : 1,154.54 = 505.13 : x
  2. Step 2: Convert to fraction form
    836.89/1,154.54 = 505.13/x
  3. Step 3: Cross multiply
    836.89x = 1,154.54 × 505.13
  4. Step 4: Simplify right side
    836.89x = 583,184.49
  5. Step 5: Solve for x
    x = 583,184.49/836.89
  6. Step 6: Final answer
    x = 696.85

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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.