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Finding the Fourth Proportional to 456.75, 628.95 and 446.53

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Solution

The fourth proportional to 456.75, 628.95 and 446.53 is: 614.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.75 : 628.95 = 446.53 : x
  2. Step 2: Convert to fraction form
    456.75/628.95 = 446.53/x
  3. Step 3: Cross multiply
    456.75x = 628.95 × 446.53
  4. Step 4: Simplify right side
    456.75x = 280,845.04
  5. Step 5: Solve for x
    x = 280,845.04/456.75
  6. Step 6: Final answer
    x = 614.88

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Find fourth proportional to 228.38, 314.48 and 223.27
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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.