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Finding the Fourth Proportional to 881.28, 1,216.08 and 585.36

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Solution

The fourth proportional to 881.28, 1,216.08 and 585.36 is: 807.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.28 : 1,216.08 = 585.36 : x
  2. Step 2: Convert to fraction form
    881.28/1,216.08 = 585.36/x
  3. Step 3: Cross multiply
    881.28x = 1,216.08 × 585.36
  4. Step 4: Simplify right side
    881.28x = 711,844.59
  5. Step 5: Solve for x
    x = 711,844.59/881.28
  6. Step 6: Final answer
    x = 807.74

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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.