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Finding the Fourth Proportional to 663.64, 915.76 and 383.82

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Solution

The fourth proportional to 663.64, 915.76 and 383.82 is: 529.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.64 : 915.76 = 383.82 : x
  2. Step 2: Convert to fraction form
    663.64/915.76 = 383.82/x
  3. Step 3: Cross multiply
    663.64x = 915.76 × 383.82
  4. Step 4: Simplify right side
    663.64x = 351,487.00
  5. Step 5: Solve for x
    x = 351,487.00/663.64
  6. Step 6: Final answer
    x = 529.64

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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.