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Finding the Fourth Proportional to 562.08, 775.84 and 475.44

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Solution

The fourth proportional to 562.08, 775.84 and 475.44 is: 656.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.08 : 775.84 = 475.44 : x
  2. Step 2: Convert to fraction form
    562.08/775.84 = 475.44/x
  3. Step 3: Cross multiply
    562.08x = 775.84 × 475.44
  4. Step 4: Simplify right side
    562.08x = 368,865.37
  5. Step 5: Solve for x
    x = 368,865.37/562.08
  6. Step 6: Final answer
    x = 656.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.