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Finding the Fourth Proportional to 916.90, 1,375.08 and 396.78

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Solution

The fourth proportional to 916.90, 1,375.08 and 396.78 is: 595.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.90 : 1,375.08 = 396.78 : x
  2. Step 2: Convert to fraction form
    916.90/1,375.08 = 396.78/x
  3. Step 3: Cross multiply
    916.90x = 1,375.08 × 396.78
  4. Step 4: Simplify right side
    916.90x = 545,604.24
  5. Step 5: Solve for x
    x = 545,604.24/916.90
  6. Step 6: Final answer
    x = 595.05

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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.