Home / 1,182.08-1,631.39-710.12

Finding the Fourth Proportional to 1,182.08, 1,631.39 and 710.12

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Solution

The fourth proportional to 1,182.08, 1,631.39 and 710.12 is: 980.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.08 : 1,631.39 = 710.12 : x
  2. Step 2: Convert to fraction form
    1,182.08/1,631.39 = 710.12/x
  3. Step 3: Cross multiply
    1,182.08x = 1,631.39 × 710.12
  4. Step 4: Simplify right side
    1,182.08x = 1,158,470.96
  5. Step 5: Solve for x
    x = 1,158,470.96/1,182.08
  6. Step 6: Final answer
    x = 980.03

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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.