Home / 1,177.29-1,625.27-829.53

Finding the Fourth Proportional to 1,177.29, 1,625.27 and 829.53

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Solution

The fourth proportional to 1,177.29, 1,625.27 and 829.53 is: 1,145.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.29 : 1,625.27 = 829.53 : x
  2. Step 2: Convert to fraction form
    1,177.29/1,625.27 = 829.53/x
  3. Step 3: Cross multiply
    1,177.29x = 1,625.27 × 829.53
  4. Step 4: Simplify right side
    1,177.29x = 1,348,206.08
  5. Step 5: Solve for x
    x = 1,348,206.08/1,177.29
  6. Step 6: Final answer
    x = 1,145.18

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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.