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Finding the Fourth Proportional to 977.67, 1,354.84 and 959.21

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Solution

The fourth proportional to 977.67, 1,354.84 and 959.21 is: 1,329.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.67 : 1,354.84 = 959.21 : x
  2. Step 2: Convert to fraction form
    977.67/1,354.84 = 959.21/x
  3. Step 3: Cross multiply
    977.67x = 1,354.84 × 959.21
  4. Step 4: Simplify right side
    977.67x = 1,299,576.08
  5. Step 5: Solve for x
    x = 1,299,576.08/977.67
  6. Step 6: Final answer
    x = 1,329.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.