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Finding the Fourth Proportional to 663.61, 915.78 and 368.88

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Solution

The fourth proportional to 663.61, 915.78 and 368.88 is: 509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.61 : 915.78 = 368.88 : x
  2. Step 2: Convert to fraction form
    663.61/915.78 = 368.88/x
  3. Step 3: Cross multiply
    663.61x = 915.78 × 368.88
  4. Step 4: Simplify right side
    663.61x = 337,812.93
  5. Step 5: Solve for x
    x = 337,812.93/663.61
  6. Step 6: Final answer
    x = 509.05

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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.