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Finding the Fourth Proportional to 563.35, 844.51 and 289.30

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Solution

The fourth proportional to 563.35, 844.51 and 289.30 is: 433.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.35 : 844.51 = 289.30 : x
  2. Step 2: Convert to fraction form
    563.35/844.51 = 289.30/x
  3. Step 3: Cross multiply
    563.35x = 844.51 × 289.30
  4. Step 4: Simplify right side
    563.35x = 244,316.74
  5. Step 5: Solve for x
    x = 244,316.74/563.35
  6. Step 6: Final answer
    x = 433.69

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Similar ratio
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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.