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Finding the Fourth Proportional to 565.77, 849.01 and 253.42

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Solution

The fourth proportional to 565.77, 849.01 and 253.42 is: 380.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.77 : 849.01 = 253.42 : x
  2. Step 2: Convert to fraction form
    565.77/849.01 = 253.42/x
  3. Step 3: Cross multiply
    565.77x = 849.01 × 253.42
  4. Step 4: Simplify right side
    565.77x = 215,153.36
  5. Step 5: Solve for x
    x = 215,153.36/565.77
  6. Step 6: Final answer
    x = 380.28

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Double scale
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Similar ratio
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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.