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Finding the Fourth Proportional to 916.09, 1,373.97 and 422.35

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Solution

The fourth proportional to 916.09, 1,373.97 and 422.35 is: 633.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.09 : 1,373.97 = 422.35 : x
  2. Step 2: Convert to fraction form
    916.09/1,373.97 = 422.35/x
  3. Step 3: Cross multiply
    916.09x = 1,373.97 × 422.35
  4. Step 4: Simplify right side
    916.09x = 580,296.23
  5. Step 5: Solve for x
    x = 580,296.23/916.09
  6. Step 6: Final answer
    x = 633.45

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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.