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Finding the Fourth Proportional to 616.88, 925.59 and 328.34

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Solution

The fourth proportional to 616.88, 925.59 and 328.34 is: 492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.88 : 925.59 = 328.34 : x
  2. Step 2: Convert to fraction form
    616.88/925.59 = 328.34/x
  3. Step 3: Cross multiply
    616.88x = 925.59 × 328.34
  4. Step 4: Simplify right side
    616.88x = 303,908.22
  5. Step 5: Solve for x
    x = 303,908.22/616.88
  6. Step 6: Final answer
    x = 492.65

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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.