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Finding the Fourth Proportional to 663.84, 915.96 and 415.08

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Solution

The fourth proportional to 663.84, 915.96 and 415.08 is: 572.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.84 : 915.96 = 415.08 : x
  2. Step 2: Convert to fraction form
    663.84/915.96 = 415.08/x
  3. Step 3: Cross multiply
    663.84x = 915.96 × 415.08
  4. Step 4: Simplify right side
    663.84x = 380,196.68
  5. Step 5: Solve for x
    x = 380,196.68/663.84
  6. Step 6: Final answer
    x = 572.72

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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.