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Finding the Fourth Proportional to 628.24, 867.33 and 418.71

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Solution

The fourth proportional to 628.24, 867.33 and 418.71 is: 578.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.24 : 867.33 = 418.71 : x
  2. Step 2: Convert to fraction form
    628.24/867.33 = 418.71/x
  3. Step 3: Cross multiply
    628.24x = 867.33 × 418.71
  4. Step 4: Simplify right side
    628.24x = 363,159.74
  5. Step 5: Solve for x
    x = 363,159.74/628.24
  6. Step 6: Final answer
    x = 578.06

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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.