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Finding the Fourth Proportional to 701.94, 1,053.11 and 269.13

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Solution

The fourth proportional to 701.94, 1,053.11 and 269.13 is: 403.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.94 : 1,053.11 = 269.13 : x
  2. Step 2: Convert to fraction form
    701.94/1,053.11 = 269.13/x
  3. Step 3: Cross multiply
    701.94x = 1,053.11 × 269.13
  4. Step 4: Simplify right side
    701.94x = 283,423.49
  5. Step 5: Solve for x
    x = 283,423.49/701.94
  6. Step 6: Final answer
    x = 403.77

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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.