Home / 1,680.12-2,520.54-705.66

Finding the Fourth Proportional to 1,680.12, 2,520.54 and 705.66

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Solution

The fourth proportional to 1,680.12, 2,520.54 and 705.66 is: 1,058.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.12 : 2,520.54 = 705.66 : x
  2. Step 2: Convert to fraction form
    1,680.12/2,520.54 = 705.66/x
  3. Step 3: Cross multiply
    1,680.12x = 2,520.54 × 705.66
  4. Step 4: Simplify right side
    1,680.12x = 1,778,644.26
  5. Step 5: Solve for x
    x = 1,778,644.26/1,680.12
  6. Step 6: Final answer
    x = 1,058.64

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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.