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Finding the Fourth Proportional to 2,652.84, 3,979.26 and 705.33

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Solution

The fourth proportional to 2,652.84, 3,979.26 and 705.33 is: 1,058.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.84 : 3,979.26 = 705.33 : x
  2. Step 2: Convert to fraction form
    2,652.84/3,979.26 = 705.33/x
  3. Step 3: Cross multiply
    2,652.84x = 3,979.26 × 705.33
  4. Step 4: Simplify right side
    2,652.84x = 2,806,691.46
  5. Step 5: Solve for x
    x = 2,806,691.46/2,652.84
  6. Step 6: Final answer
    x = 1,058.00

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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.