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Finding the Fourth Proportional to 616.72, 918.32 and 609.84

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Solution

The fourth proportional to 616.72, 918.32 and 609.84 is: 908.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.72 : 918.32 = 609.84 : x
  2. Step 2: Convert to fraction form
    616.72/918.32 = 609.84/x
  3. Step 3: Cross multiply
    616.72x = 918.32 × 609.84
  4. Step 4: Simplify right side
    616.72x = 560,028.27
  5. Step 5: Solve for x
    x = 560,028.27/616.72
  6. Step 6: Final answer
    x = 908.08

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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.