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Finding the Fourth Proportional to 1,614.94, 2,228.61 and 916.31

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Solution

The fourth proportional to 1,614.94, 2,228.61 and 916.31 is: 1,264.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.94 : 2,228.61 = 916.31 : x
  2. Step 2: Convert to fraction form
    1,614.94/2,228.61 = 916.31/x
  3. Step 3: Cross multiply
    1,614.94x = 2,228.61 × 916.31
  4. Step 4: Simplify right side
    1,614.94x = 2,042,106.64
  5. Step 5: Solve for x
    x = 2,042,106.64/1,614.94
  6. Step 6: Final answer
    x = 1,264.51

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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.