Home / 1,020.36-1,522.82-921.95

Finding the Fourth Proportional to 1,020.36, 1,522.82 and 921.95

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Solution

The fourth proportional to 1,020.36, 1,522.82 and 921.95 is: 1,375.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.36 : 1,522.82 = 921.95 : x
  2. Step 2: Convert to fraction form
    1,020.36/1,522.82 = 921.95/x
  3. Step 3: Cross multiply
    1,020.36x = 1,522.82 × 921.95
  4. Step 4: Simplify right side
    1,020.36x = 1,403,956.28
  5. Step 5: Solve for x
    x = 1,403,956.28/1,020.36
  6. Step 6: Final answer
    x = 1,375.94

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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.