Home / 1,221.04-1,686.12-829.52

Finding the Fourth Proportional to 1,221.04, 1,686.12 and 829.52

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Solution

The fourth proportional to 1,221.04, 1,686.12 and 829.52 is: 1,145.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.04 : 1,686.12 = 829.52 : x
  2. Step 2: Convert to fraction form
    1,221.04/1,686.12 = 829.52/x
  3. Step 3: Cross multiply
    1,221.04x = 1,686.12 × 829.52
  4. Step 4: Simplify right side
    1,221.04x = 1,398,670.26
  5. Step 5: Solve for x
    x = 1,398,670.26/1,221.04
  6. Step 6: Final answer
    x = 1,145.47

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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.