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Finding the Fourth Proportional to 628.16, 867.74 and 454.41

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Solution

The fourth proportional to 628.16, 867.74 and 454.41 is: 627.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.16 : 867.74 = 454.41 : x
  2. Step 2: Convert to fraction form
    628.16/867.74 = 454.41/x
  3. Step 3: Cross multiply
    628.16x = 867.74 × 454.41
  4. Step 4: Simplify right side
    628.16x = 394,307.46
  5. Step 5: Solve for x
    x = 394,307.46/628.16
  6. Step 6: Final answer
    x = 627.72

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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.