Home / 1,156.89-1,594.56-921.75

Finding the Fourth Proportional to 1,156.89, 1,594.56 and 921.75

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Solution

The fourth proportional to 1,156.89, 1,594.56 and 921.75 is: 1,270.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.89 : 1,594.56 = 921.75 : x
  2. Step 2: Convert to fraction form
    1,156.89/1,594.56 = 921.75/x
  3. Step 3: Cross multiply
    1,156.89x = 1,594.56 × 921.75
  4. Step 4: Simplify right side
    1,156.89x = 1,469,785.68
  5. Step 5: Solve for x
    x = 1,469,785.68/1,156.89
  6. Step 6: Final answer
    x = 1,270.46

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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.