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Finding the Fourth Proportional to 628.76, 867.74 and 396.12

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Solution

The fourth proportional to 628.76, 867.74 and 396.12 is: 546.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.76 : 867.74 = 396.12 : x
  2. Step 2: Convert to fraction form
    628.76/867.74 = 396.12/x
  3. Step 3: Cross multiply
    628.76x = 867.74 × 396.12
  4. Step 4: Simplify right side
    628.76x = 343,729.17
  5. Step 5: Solve for x
    x = 343,729.17/628.76
  6. Step 6: Final answer
    x = 546.68

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Find fourth proportional to 314.38, 433.87 and 198.06
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1.5x scale

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.