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Finding the Fourth Proportional to 663.36, 915.20 and 456

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Solution

The fourth proportional to 663.36, 915.20 and 456 is: 629.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.36 : 915.20 = 456 : x
  2. Step 2: Convert to fraction form
    663.36/915.20 = 456/x
  3. Step 3: Cross multiply
    663.36x = 915.20 × 456
  4. Step 4: Simplify right side
    663.36x = 417,331.20
  5. Step 5: Solve for x
    x = 417,331.20/663.36
  6. Step 6: Final answer
    x = 629.12

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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.