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Finding the Fourth Proportional to 563.84, 845.70 and 153.02

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Solution

The fourth proportional to 563.84, 845.70 and 153.02 is: 229.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.84 : 845.70 = 153.02 : x
  2. Step 2: Convert to fraction form
    563.84/845.70 = 153.02/x
  3. Step 3: Cross multiply
    563.84x = 845.70 × 153.02
  4. Step 4: Simplify right side
    563.84x = 129,404.79
  5. Step 5: Solve for x
    x = 129,404.79/563.84
  6. Step 6: Final answer
    x = 229.51

Related Problems

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Half scale
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Double scale
Find fourth proportional to 564.84, 847.20 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.