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Finding the Fourth Proportional to 664.58, 915.72 and 454.79

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Solution

The fourth proportional to 664.58, 915.72 and 454.79 is: 626.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.58 : 915.72 = 454.79 : x
  2. Step 2: Convert to fraction form
    664.58/915.72 = 454.79/x
  3. Step 3: Cross multiply
    664.58x = 915.72 × 454.79
  4. Step 4: Simplify right side
    664.58x = 416,460.30
  5. Step 5: Solve for x
    x = 416,460.30/664.58
  6. Step 6: Final answer
    x = 626.65

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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.