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Finding the Fourth Proportional to 554.70, 765.36 and 471.66

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Solution

The fourth proportional to 554.70, 765.36 and 471.66 is: 650.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.70 : 765.36 = 471.66 : x
  2. Step 2: Convert to fraction form
    554.70/765.36 = 471.66/x
  3. Step 3: Cross multiply
    554.70x = 765.36 × 471.66
  4. Step 4: Simplify right side
    554.70x = 360,989.70
  5. Step 5: Solve for x
    x = 360,989.70/554.70
  6. Step 6: Final answer
    x = 650.78

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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.