Home / 1,029.24-1,419.99-587.04

Finding the Fourth Proportional to 1,029.24, 1,419.99 and 587.04

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Solution

The fourth proportional to 1,029.24, 1,419.99 and 587.04 is: 809.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.24 : 1,419.99 = 587.04 : x
  2. Step 2: Convert to fraction form
    1,029.24/1,419.99 = 587.04/x
  3. Step 3: Cross multiply
    1,029.24x = 1,419.99 × 587.04
  4. Step 4: Simplify right side
    1,029.24x = 833,590.93
  5. Step 5: Solve for x
    x = 833,590.93/1,029.24
  6. Step 6: Final answer
    x = 809.91

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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.