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Finding the Fourth Proportional to 767.27, 1,152.80 and 638.21

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Solution

The fourth proportional to 767.27, 1,152.80 and 638.21 is: 958.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.27 : 1,152.80 = 638.21 : x
  2. Step 2: Convert to fraction form
    767.27/1,152.80 = 638.21/x
  3. Step 3: Cross multiply
    767.27x = 1,152.80 × 638.21
  4. Step 4: Simplify right side
    767.27x = 735,728.49
  5. Step 5: Solve for x
    x = 735,728.49/767.27
  6. Step 6: Final answer
    x = 958.89

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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.