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Finding the Fourth Proportional to 836.05, 1,154.23 and 624.53

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Solution

The fourth proportional to 836.05, 1,154.23 and 624.53 is: 862.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.05 : 1,154.23 = 624.53 : x
  2. Step 2: Convert to fraction form
    836.05/1,154.23 = 624.53/x
  3. Step 3: Cross multiply
    836.05x = 1,154.23 × 624.53
  4. Step 4: Simplify right side
    836.05x = 720,851.26
  5. Step 5: Solve for x
    x = 720,851.26/836.05
  6. Step 6: Final answer
    x = 862.21

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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.