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Finding the Fourth Proportional to 563.63, 845.46 and 152.80

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Solution

The fourth proportional to 563.63, 845.46 and 152.80 is: 229.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.63 : 845.46 = 152.80 : x
  2. Step 2: Convert to fraction form
    563.63/845.46 = 152.80/x
  3. Step 3: Cross multiply
    563.63x = 845.46 × 152.80
  4. Step 4: Simplify right side
    563.63x = 129,184.17
  5. Step 5: Solve for x
    x = 129,184.17/563.63
  6. Step 6: Final answer
    x = 229.20

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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.