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Finding the Fourth Proportional to 916.85, 1,263.94 and 654.41

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Solution

The fourth proportional to 916.85, 1,263.94 and 654.41 is: 902.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.85 : 1,263.94 = 654.41 : x
  2. Step 2: Convert to fraction form
    916.85/1,263.94 = 654.41/x
  3. Step 3: Cross multiply
    916.85x = 1,263.94 × 654.41
  4. Step 4: Simplify right side
    916.85x = 827,125.38
  5. Step 5: Solve for x
    x = 827,125.38/916.85
  6. Step 6: Final answer
    x = 902.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.