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Finding the Fourth Proportional to 628.40, 867.54 and 470.98

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Solution

The fourth proportional to 628.40, 867.54 and 470.98 is: 650.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.40 : 867.54 = 470.98 : x
  2. Step 2: Convert to fraction form
    628.40/867.54 = 470.98/x
  3. Step 3: Cross multiply
    628.40x = 867.54 × 470.98
  4. Step 4: Simplify right side
    628.40x = 408,593.99
  5. Step 5: Solve for x
    x = 408,593.99/628.40
  6. Step 6: Final answer
    x = 650.21

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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.