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Finding the Fourth Proportional to 916.43, 1,375.65 and 856.94

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Solution

The fourth proportional to 916.43, 1,375.65 and 856.94 is: 1,286.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.43 : 1,375.65 = 856.94 : x
  2. Step 2: Convert to fraction form
    916.43/1,375.65 = 856.94/x
  3. Step 3: Cross multiply
    916.43x = 1,375.65 × 856.94
  4. Step 4: Simplify right side
    916.43x = 1,178,842.63
  5. Step 5: Solve for x
    x = 1,178,842.63/916.43
  6. Step 6: Final answer
    x = 1,286.35

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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.