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Finding the Fourth Proportional to 1,123.29, 1,549.85 and 703.85

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Solution

The fourth proportional to 1,123.29, 1,549.85 and 703.85 is: 971.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.29 : 1,549.85 = 703.85 : x
  2. Step 2: Convert to fraction form
    1,123.29/1,549.85 = 703.85/x
  3. Step 3: Cross multiply
    1,123.29x = 1,549.85 × 703.85
  4. Step 4: Simplify right side
    1,123.29x = 1,090,850.65
  5. Step 5: Solve for x
    x = 1,090,850.65/1,123.29
  6. Step 6: Final answer
    x = 971.12

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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.