Home / 1,088.24-1,500.53-825.80

Finding the Fourth Proportional to 1,088.24, 1,500.53 and 825.80

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Solution

The fourth proportional to 1,088.24, 1,500.53 and 825.80 is: 1,138.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.24 : 1,500.53 = 825.80 : x
  2. Step 2: Convert to fraction form
    1,088.24/1,500.53 = 825.80/x
  3. Step 3: Cross multiply
    1,088.24x = 1,500.53 × 825.80
  4. Step 4: Simplify right side
    1,088.24x = 1,239,126.04
  5. Step 5: Solve for x
    x = 1,239,126.04/1,088.24
  6. Step 6: Final answer
    x = 1,138.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.