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Finding the Fourth Proportional to 563.98, 845.78 and 217.05

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Solution

The fourth proportional to 563.98, 845.78 and 217.05 is: 325.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.98 : 845.78 = 217.05 : x
  2. Step 2: Convert to fraction form
    563.98/845.78 = 217.05/x
  3. Step 3: Cross multiply
    563.98x = 845.78 × 217.05
  4. Step 4: Simplify right side
    563.98x = 183,576.55
  5. Step 5: Solve for x
    x = 183,576.55/563.98
  6. Step 6: Final answer
    x = 325.50

Related Problems

Find fourth proportional to 281.99, 422.89 and 108.53
Half scale
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Double scale
Find fourth proportional to 564.98, 847.28 and 218.05
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.