Home / 1,020.93-1,531.43-486.53

Finding the Fourth Proportional to 1,020.93, 1,531.43 and 486.53

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Solution

The fourth proportional to 1,020.93, 1,531.43 and 486.53 is: 729.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.93 : 1,531.43 = 486.53 : x
  2. Step 2: Convert to fraction form
    1,020.93/1,531.43 = 486.53/x
  3. Step 3: Cross multiply
    1,020.93x = 1,531.43 × 486.53
  4. Step 4: Simplify right side
    1,020.93x = 745,084.21
  5. Step 5: Solve for x
    x = 745,084.21/1,020.93
  6. Step 6: Final answer
    x = 729.81

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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.