Home / 1,139.23-1,705.20-590.66

Finding the Fourth Proportional to 1,139.23, 1,705.20 and 590.66

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Solution

The fourth proportional to 1,139.23, 1,705.20 and 590.66 is: 884.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.23 : 1,705.20 = 590.66 : x
  2. Step 2: Convert to fraction form
    1,139.23/1,705.20 = 590.66/x
  3. Step 3: Cross multiply
    1,139.23x = 1,705.20 × 590.66
  4. Step 4: Simplify right side
    1,139.23x = 1,007,189.09
  5. Step 5: Solve for x
    x = 1,007,189.09/1,139.23
  6. Step 6: Final answer
    x = 884.10

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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.