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Finding the Fourth Proportional to 563.85, 845.73 and 153.01

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Solution

The fourth proportional to 563.85, 845.73 and 153.01 is: 229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.85 : 845.73 = 153.01 : x
  2. Step 2: Convert to fraction form
    563.85/845.73 = 153.01/x
  3. Step 3: Cross multiply
    563.85x = 845.73 × 153.01
  4. Step 4: Simplify right side
    563.85x = 129,405.15
  5. Step 5: Solve for x
    x = 129,405.15/563.85
  6. Step 6: Final answer
    x = 229.50

Related Problems

Find fourth proportional to 281.93, 422.87 and 76.51
Half scale
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Double scale
Find fourth proportional to 564.85, 847.23 and 154.01
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.