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Finding the Fourth Proportional to 981.84, 1,354.50 and 687.26

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Solution

The fourth proportional to 981.84, 1,354.50 and 687.26 is: 948.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.84 : 1,354.50 = 687.26 : x
  2. Step 2: Convert to fraction form
    981.84/1,354.50 = 687.26/x
  3. Step 3: Cross multiply
    981.84x = 1,354.50 × 687.26
  4. Step 4: Simplify right side
    981.84x = 930,893.67
  5. Step 5: Solve for x
    x = 930,893.67/981.84
  6. Step 6: Final answer
    x = 948.11

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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.