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Finding the Fourth Proportional to 920.50, 1,269.57 and 640.72

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Solution

The fourth proportional to 920.50, 1,269.57 and 640.72 is: 883.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.50 : 1,269.57 = 640.72 : x
  2. Step 2: Convert to fraction form
    920.50/1,269.57 = 640.72/x
  3. Step 3: Cross multiply
    920.50x = 1,269.57 × 640.72
  4. Step 4: Simplify right side
    920.50x = 813,438.89
  5. Step 5: Solve for x
    x = 813,438.89/920.50
  6. Step 6: Final answer
    x = 883.69

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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.