Home / 1,020.24-1,531.28-690.38

Finding the Fourth Proportional to 1,020.24, 1,531.28 and 690.38

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Solution

The fourth proportional to 1,020.24, 1,531.28 and 690.38 is: 1,036.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.24 : 1,531.28 = 690.38 : x
  2. Step 2: Convert to fraction form
    1,020.24/1,531.28 = 690.38/x
  3. Step 3: Cross multiply
    1,020.24x = 1,531.28 × 690.38
  4. Step 4: Simplify right side
    1,020.24x = 1,057,165.09
  5. Step 5: Solve for x
    x = 1,057,165.09/1,020.24
  6. Step 6: Final answer
    x = 1,036.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.