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Finding the Fourth Proportional to 474.76, 650.73 and 472.69

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Solution

The fourth proportional to 474.76, 650.73 and 472.69 is: 647.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.76 : 650.73 = 472.69 : x
  2. Step 2: Convert to fraction form
    474.76/650.73 = 472.69/x
  3. Step 3: Cross multiply
    474.76x = 650.73 × 472.69
  4. Step 4: Simplify right side
    474.76x = 307,592.49
  5. Step 5: Solve for x
    x = 307,592.49/474.76
  6. Step 6: Final answer
    x = 647.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.