Home / 1,162.40-1,743.60-577.18

Finding the Fourth Proportional to 1,162.40, 1,743.60 and 577.18

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Solution

The fourth proportional to 1,162.40, 1,743.60 and 577.18 is: 865.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.40 : 1,743.60 = 577.18 : x
  2. Step 2: Convert to fraction form
    1,162.40/1,743.60 = 577.18/x
  3. Step 3: Cross multiply
    1,162.40x = 1,743.60 × 577.18
  4. Step 4: Simplify right side
    1,162.40x = 1,006,362.33
  5. Step 5: Solve for x
    x = 1,006,362.33/1,162.40
  6. Step 6: Final answer
    x = 865.76

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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.