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Finding the Fourth Proportional to 881.58, 1,319.31 and 534.72

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Solution

The fourth proportional to 881.58, 1,319.31 and 534.72 is: 800.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.58 : 1,319.31 = 534.72 : x
  2. Step 2: Convert to fraction form
    881.58/1,319.31 = 534.72/x
  3. Step 3: Cross multiply
    881.58x = 1,319.31 × 534.72
  4. Step 4: Simplify right side
    881.58x = 705,461.44
  5. Step 5: Solve for x
    x = 705,461.44/881.58
  6. Step 6: Final answer
    x = 800.22

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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.