Home / 1,284.15-1,926.96-590.73

Finding the Fourth Proportional to 1,284.15, 1,926.96 and 590.73

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Solution

The fourth proportional to 1,284.15, 1,926.96 and 590.73 is: 886.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.15 : 1,926.96 = 590.73 : x
  2. Step 2: Convert to fraction form
    1,284.15/1,926.96 = 590.73/x
  3. Step 3: Cross multiply
    1,284.15x = 1,926.96 × 590.73
  4. Step 4: Simplify right side
    1,284.15x = 1,138,303.64
  5. Step 5: Solve for x
    x = 1,138,303.64/1,284.15
  6. Step 6: Final answer
    x = 886.42

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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.