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Finding the Fourth Proportional to 613.36, 916.31 and 438.64

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Solution

The fourth proportional to 613.36, 916.31 and 438.64 is: 655.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.36 : 916.31 = 438.64 : x
  2. Step 2: Convert to fraction form
    613.36/916.31 = 438.64/x
  3. Step 3: Cross multiply
    613.36x = 916.31 × 438.64
  4. Step 4: Simplify right side
    613.36x = 401,930.22
  5. Step 5: Solve for x
    x = 401,930.22/613.36
  6. Step 6: Final answer
    x = 655.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.