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Finding the Fourth Proportional to 916.05, 1,374.36 and 454.14

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Solution

The fourth proportional to 916.05, 1,374.36 and 454.14 is: 681.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.05 : 1,374.36 = 454.14 : x
  2. Step 2: Convert to fraction form
    916.05/1,374.36 = 454.14/x
  3. Step 3: Cross multiply
    916.05x = 1,374.36 × 454.14
  4. Step 4: Simplify right side
    916.05x = 624,151.85
  5. Step 5: Solve for x
    x = 624,151.85/916.05
  6. Step 6: Final answer
    x = 681.35

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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.