Home / 1,204.18-1,661.52-761.56

Finding the Fourth Proportional to 1,204.18, 1,661.52 and 761.56

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Solution

The fourth proportional to 1,204.18, 1,661.52 and 761.56 is: 1,050.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.18 : 1,661.52 = 761.56 : x
  2. Step 2: Convert to fraction form
    1,204.18/1,661.52 = 761.56/x
  3. Step 3: Cross multiply
    1,204.18x = 1,661.52 × 761.56
  4. Step 4: Simplify right side
    1,204.18x = 1,265,347.17
  5. Step 5: Solve for x
    x = 1,265,347.17/1,204.18
  6. Step 6: Final answer
    x = 1,050.80

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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.