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Finding the Fourth Proportional to 613.99, 921.02 and 175.28

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Solution

The fourth proportional to 613.99, 921.02 and 175.28 is: 262.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.99 : 921.02 = 175.28 : x
  2. Step 2: Convert to fraction form
    613.99/921.02 = 175.28/x
  3. Step 3: Cross multiply
    613.99x = 921.02 × 175.28
  4. Step 4: Simplify right side
    613.99x = 161,432.29
  5. Step 5: Solve for x
    x = 161,432.29/613.99
  6. Step 6: Final answer
    x = 262.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.