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Finding the Fourth Proportional to 916.63, 1,376.57 and 801.88

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Solution

The fourth proportional to 916.63, 1,376.57 and 801.88 is: 1,204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.63 : 1,376.57 = 801.88 : x
  2. Step 2: Convert to fraction form
    916.63/1,376.57 = 801.88/x
  3. Step 3: Cross multiply
    916.63x = 1,376.57 × 801.88
  4. Step 4: Simplify right side
    916.63x = 1,103,843.95
  5. Step 5: Solve for x
    x = 1,103,843.95/916.63
  6. Step 6: Final answer
    x = 1,204.24

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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.