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Finding the Fourth Proportional to 566.37, 849.56 and 429.66

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Solution

The fourth proportional to 566.37, 849.56 and 429.66 is: 644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.37 : 849.56 = 429.66 : x
  2. Step 2: Convert to fraction form
    566.37/849.56 = 429.66/x
  3. Step 3: Cross multiply
    566.37x = 849.56 × 429.66
  4. Step 4: Simplify right side
    566.37x = 365,019.80
  5. Step 5: Solve for x
    x = 365,019.80/566.37
  6. Step 6: Final answer
    x = 644.49

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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.