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Finding the Fourth Proportional to 918.84, 1,266.97 and 830.31

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Solution

The fourth proportional to 918.84, 1,266.97 and 830.31 is: 1,144.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.84 : 1,266.97 = 830.31 : x
  2. Step 2: Convert to fraction form
    918.84/1,266.97 = 830.31/x
  3. Step 3: Cross multiply
    918.84x = 1,266.97 × 830.31
  4. Step 4: Simplify right side
    918.84x = 1,051,977.86
  5. Step 5: Solve for x
    x = 1,051,977.86/918.84
  6. Step 6: Final answer
    x = 1,144.90

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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.