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Finding the Fourth Proportional to 612.91, 919.47 and 248.02

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Solution

The fourth proportional to 612.91, 919.47 and 248.02 is: 372.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.91 : 919.47 = 248.02 : x
  2. Step 2: Convert to fraction form
    612.91/919.47 = 248.02/x
  3. Step 3: Cross multiply
    612.91x = 919.47 × 248.02
  4. Step 4: Simplify right side
    612.91x = 228,046.95
  5. Step 5: Solve for x
    x = 228,046.95/612.91
  6. Step 6: Final answer
    x = 372.07

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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.