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Finding the Fourth Proportional to 566.62, 850.03 and 392.87

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Solution

The fourth proportional to 566.62, 850.03 and 392.87 is: 589.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.62 : 850.03 = 392.87 : x
  2. Step 2: Convert to fraction form
    566.62/850.03 = 392.87/x
  3. Step 3: Cross multiply
    566.62x = 850.03 × 392.87
  4. Step 4: Simplify right side
    566.62x = 333,952.43
  5. Step 5: Solve for x
    x = 333,952.43/566.62
  6. Step 6: Final answer
    x = 589.38

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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.