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Finding the Fourth Proportional to 566.62, 848.41 and 475.49

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Solution

The fourth proportional to 566.62, 848.41 and 475.49 is: 711.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.62 : 848.41 = 475.49 : x
  2. Step 2: Convert to fraction form
    566.62/848.41 = 475.49/x
  3. Step 3: Cross multiply
    566.62x = 848.41 × 475.49
  4. Step 4: Simplify right side
    566.62x = 403,411.40
  5. Step 5: Solve for x
    x = 403,411.40/566.62
  6. Step 6: Final answer
    x = 711.96

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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.