Home / 1,020.19-1,529.68-691.53

Finding the Fourth Proportional to 1,020.19, 1,529.68 and 691.53

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Solution

The fourth proportional to 1,020.19, 1,529.68 and 691.53 is: 1,036.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.19 : 1,529.68 = 691.53 : x
  2. Step 2: Convert to fraction form
    1,020.19/1,529.68 = 691.53/x
  3. Step 3: Cross multiply
    1,020.19x = 1,529.68 × 691.53
  4. Step 4: Simplify right side
    1,020.19x = 1,057,823.62
  5. Step 5: Solve for x
    x = 1,057,823.62/1,020.19
  6. Step 6: Final answer
    x = 1,036.89

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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.