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Finding the Fourth Proportional to 628.30, 867.10 and 472.78

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Solution

The fourth proportional to 628.30, 867.10 and 472.78 is: 652.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.30 : 867.10 = 472.78 : x
  2. Step 2: Convert to fraction form
    628.30/867.10 = 472.78/x
  3. Step 3: Cross multiply
    628.30x = 867.10 × 472.78
  4. Step 4: Simplify right side
    628.30x = 409,947.54
  5. Step 5: Solve for x
    x = 409,947.54/628.30
  6. Step 6: Final answer
    x = 652.47

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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.