Home / 1,001.05-1,494.26-928.78

Finding the Fourth Proportional to 1,001.05, 1,494.26 and 928.78

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Solution

The fourth proportional to 1,001.05, 1,494.26 and 928.78 is: 1,386.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.05 : 1,494.26 = 928.78 : x
  2. Step 2: Convert to fraction form
    1,001.05/1,494.26 = 928.78/x
  3. Step 3: Cross multiply
    1,001.05x = 1,494.26 × 928.78
  4. Step 4: Simplify right side
    1,001.05x = 1,387,838.80
  5. Step 5: Solve for x
    x = 1,387,838.80/1,001.05
  6. Step 6: Final answer
    x = 1,386.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.