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Finding the Fourth Proportional to 563.49, 845.10 and 289.44

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Solution

The fourth proportional to 563.49, 845.10 and 289.44 is: 434.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.49 : 845.10 = 289.44 : x
  2. Step 2: Convert to fraction form
    563.49/845.10 = 289.44/x
  3. Step 3: Cross multiply
    563.49x = 845.10 × 289.44
  4. Step 4: Simplify right side
    563.49x = 244,605.74
  5. Step 5: Solve for x
    x = 244,605.74/563.49
  6. Step 6: Final answer
    x = 434.09

Related Problems

Find fourth proportional to 281.75, 422.55 and 144.72
Half scale
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Double scale
Find fourth proportional to 564.49, 846.60 and 290.44
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.