Home / 1,204.76-1,660.75-942.32

Finding the Fourth Proportional to 1,204.76, 1,660.75 and 942.32

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Solution

The fourth proportional to 1,204.76, 1,660.75 and 942.32 is: 1,298.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.76 : 1,660.75 = 942.32 : x
  2. Step 2: Convert to fraction form
    1,204.76/1,660.75 = 942.32/x
  3. Step 3: Cross multiply
    1,204.76x = 1,660.75 × 942.32
  4. Step 4: Simplify right side
    1,204.76x = 1,564,947.28
  5. Step 5: Solve for x
    x = 1,564,947.28/1,204.76
  6. Step 6: Final answer
    x = 1,298.98

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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.