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Finding the Fourth Proportional to 563.99, 845.87 and 153.02

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Solution

The fourth proportional to 563.99, 845.87 and 153.02 is: 229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.99 : 845.87 = 153.02 : x
  2. Step 2: Convert to fraction form
    563.99/845.87 = 153.02/x
  3. Step 3: Cross multiply
    563.99x = 845.87 × 153.02
  4. Step 4: Simplify right side
    563.99x = 129,435.03
  5. Step 5: Solve for x
    x = 129,435.03/563.99
  6. Step 6: Final answer
    x = 229.50

Related Problems

Find fourth proportional to 281.99, 422.94 and 76.51
Half scale
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Double scale
Find fourth proportional to 564.99, 847.37 and 154.02
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.