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Finding the Fourth Proportional to 589.78, 884.18 and 260.48

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Solution

The fourth proportional to 589.78, 884.18 and 260.48 is: 390.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.78 : 884.18 = 260.48 : x
  2. Step 2: Convert to fraction form
    589.78/884.18 = 260.48/x
  3. Step 3: Cross multiply
    589.78x = 884.18 × 260.48
  4. Step 4: Simplify right side
    589.78x = 230,311.21
  5. Step 5: Solve for x
    x = 230,311.21/589.78
  6. Step 6: Final answer
    x = 390.50

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Double scale
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Similar ratio
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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.