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Finding the Fourth Proportional to 1,324.90, 1,982.67 and 977.41

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Solution

The fourth proportional to 1,324.90, 1,982.67 and 977.41 is: 1,462.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.90 : 1,982.67 = 977.41 : x
  2. Step 2: Convert to fraction form
    1,324.90/1,982.67 = 977.41/x
  3. Step 3: Cross multiply
    1,324.90x = 1,982.67 × 977.41
  4. Step 4: Simplify right side
    1,324.90x = 1,937,881.48
  5. Step 5: Solve for x
    x = 1,937,881.48/1,324.90
  6. Step 6: Final answer
    x = 1,462.66

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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.