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Finding the Fourth Proportional to 881.41, 1,216.25 and 570.91

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Solution

The fourth proportional to 881.41, 1,216.25 and 570.91 is: 787.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.41 : 1,216.25 = 570.91 : x
  2. Step 2: Convert to fraction form
    881.41/1,216.25 = 570.91/x
  3. Step 3: Cross multiply
    881.41x = 1,216.25 × 570.91
  4. Step 4: Simplify right side
    881.41x = 694,363.21
  5. Step 5: Solve for x
    x = 694,363.21/881.41
  6. Step 6: Final answer
    x = 787.79

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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.