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Finding the Fourth Proportional to 920.11, 1,267.82 and 624.86

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Solution

The fourth proportional to 920.11, 1,267.82 and 624.86 is: 861.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.11 : 1,267.82 = 624.86 : x
  2. Step 2: Convert to fraction form
    920.11/1,267.82 = 624.86/x
  3. Step 3: Cross multiply
    920.11x = 1,267.82 × 624.86
  4. Step 4: Simplify right side
    920.11x = 792,211.57
  5. Step 5: Solve for x
    x = 792,211.57/920.11
  6. Step 6: Final answer
    x = 861.00

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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.