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Finding the Fourth Proportional to 881.14, 1,214.80 and 548.98

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Solution

The fourth proportional to 881.14, 1,214.80 and 548.98 is: 756.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.14 : 1,214.80 = 548.98 : x
  2. Step 2: Convert to fraction form
    881.14/1,214.80 = 548.98/x
  3. Step 3: Cross multiply
    881.14x = 1,214.80 × 548.98
  4. Step 4: Simplify right side
    881.14x = 666,900.90
  5. Step 5: Solve for x
    x = 666,900.90/881.14
  6. Step 6: Final answer
    x = 756.86

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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.