Home / 1,021.09-1,531.43-500.87

Finding the Fourth Proportional to 1,021.09, 1,531.43 and 500.87

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Solution

The fourth proportional to 1,021.09, 1,531.43 and 500.87 is: 751.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.09 : 1,531.43 = 500.87 : x
  2. Step 2: Convert to fraction form
    1,021.09/1,531.43 = 500.87/x
  3. Step 3: Cross multiply
    1,021.09x = 1,531.43 × 500.87
  4. Step 4: Simplify right side
    1,021.09x = 767,046.68
  5. Step 5: Solve for x
    x = 767,046.68/1,021.09
  6. Step 6: Final answer
    x = 751.20

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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.