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Finding the Fourth Proportional to 1,284.87, 1,927.71 and 419.25

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Solution

The fourth proportional to 1,284.87, 1,927.71 and 419.25 is: 629.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.87 : 1,927.71 = 419.25 : x
  2. Step 2: Convert to fraction form
    1,284.87/1,927.71 = 419.25/x
  3. Step 3: Cross multiply
    1,284.87x = 1,927.71 × 419.25
  4. Step 4: Simplify right side
    1,284.87x = 808,192.42
  5. Step 5: Solve for x
    x = 808,192.42/1,284.87
  6. Step 6: Final answer
    x = 629.01

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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.