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Finding the Fourth Proportional to 916.20, 1,375.07 and 454.50

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Solution

The fourth proportional to 916.20, 1,375.07 and 454.50 is: 682.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.20 : 1,375.07 = 454.50 : x
  2. Step 2: Convert to fraction form
    916.20/1,375.07 = 454.50/x
  3. Step 3: Cross multiply
    916.20x = 1,375.07 × 454.50
  4. Step 4: Simplify right side
    916.20x = 624,967.04
  5. Step 5: Solve for x
    x = 624,967.04/916.20
  6. Step 6: Final answer
    x = 682.13

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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.