Home / 1,284.31-1,926.52-359.93

Finding the Fourth Proportional to 1,284.31, 1,926.52 and 359.93

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Solution

The fourth proportional to 1,284.31, 1,926.52 and 359.93 is: 539.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.31 : 1,926.52 = 359.93 : x
  2. Step 2: Convert to fraction form
    1,284.31/1,926.52 = 359.93/x
  3. Step 3: Cross multiply
    1,284.31x = 1,926.52 × 359.93
  4. Step 4: Simplify right side
    1,284.31x = 693,405.42
  5. Step 5: Solve for x
    x = 693,405.42/1,284.31
  6. Step 6: Final answer
    x = 539.91

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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.