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Finding the Fourth Proportional to 881.27, 1,215.47 and 776.78

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Solution

The fourth proportional to 881.27, 1,215.47 and 776.78 is: 1,071.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.27 : 1,215.47 = 776.78 : x
  2. Step 2: Convert to fraction form
    881.27/1,215.47 = 776.78/x
  3. Step 3: Cross multiply
    881.27x = 1,215.47 × 776.78
  4. Step 4: Simplify right side
    881.27x = 944,152.79
  5. Step 5: Solve for x
    x = 944,152.79/881.27
  6. Step 6: Final answer
    x = 1,071.35

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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.