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Finding the Fourth Proportional to 589.12, 883.80 and 329.49

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Solution

The fourth proportional to 589.12, 883.80 and 329.49 is: 494.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.12 : 883.80 = 329.49 : x
  2. Step 2: Convert to fraction form
    589.12/883.80 = 329.49/x
  3. Step 3: Cross multiply
    589.12x = 883.80 × 329.49
  4. Step 4: Simplify right side
    589.12x = 291,205.28
  5. Step 5: Solve for x
    x = 291,205.28/589.12
  6. Step 6: Final answer
    x = 494.30

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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.