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Finding the Fourth Proportional to 880.50, 1,213.56 and 767.76

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Solution

The fourth proportional to 880.50, 1,213.56 and 767.76 is: 1,058.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.50 : 1,213.56 = 767.76 : x
  2. Step 2: Convert to fraction form
    880.50/1,213.56 = 767.76/x
  3. Step 3: Cross multiply
    880.50x = 1,213.56 × 767.76
  4. Step 4: Simplify right side
    880.50x = 931,722.83
  5. Step 5: Solve for x
    x = 931,722.83/880.50
  6. Step 6: Final answer
    x = 1,058.17

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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.