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Finding the Fourth Proportional to 563.36, 843.68 and 433.20

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Solution

The fourth proportional to 563.36, 843.68 and 433.20 is: 648.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.36 : 843.68 = 433.20 : x
  2. Step 2: Convert to fraction form
    563.36/843.68 = 433.20/x
  3. Step 3: Cross multiply
    563.36x = 843.68 × 433.20
  4. Step 4: Simplify right side
    563.36x = 365,482.18
  5. Step 5: Solve for x
    x = 365,482.18/563.36
  6. Step 6: Final answer
    x = 648.75

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Double scale
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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.