Home / 1,284.61-1,927.19-419.53

Finding the Fourth Proportional to 1,284.61, 1,927.19 and 419.53

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Solution

The fourth proportional to 1,284.61, 1,927.19 and 419.53 is: 629.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.61 : 1,927.19 = 419.53 : x
  2. Step 2: Convert to fraction form
    1,284.61/1,927.19 = 419.53/x
  3. Step 3: Cross multiply
    1,284.61x = 1,927.19 × 419.53
  4. Step 4: Simplify right side
    1,284.61x = 808,514.02
  5. Step 5: Solve for x
    x = 808,514.02/1,284.61
  6. Step 6: Final answer
    x = 629.38

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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.