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Finding the Fourth Proportional to 589.38, 884.22 and 346.11

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Solution

The fourth proportional to 589.38, 884.22 and 346.11 is: 519.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.38 : 884.22 = 346.11 : x
  2. Step 2: Convert to fraction form
    589.38/884.22 = 346.11/x
  3. Step 3: Cross multiply
    589.38x = 884.22 × 346.11
  4. Step 4: Simplify right side
    589.38x = 306,037.38
  5. Step 5: Solve for x
    x = 306,037.38/589.38
  6. Step 6: Final answer
    x = 519.25

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1.5x scale

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.