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Finding the Fourth Proportional to 506.79, 699.98 and 360.08

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Solution

The fourth proportional to 506.79, 699.98 and 360.08 is: 497.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.79 : 699.98 = 360.08 : x
  2. Step 2: Convert to fraction form
    506.79/699.98 = 360.08/x
  3. Step 3: Cross multiply
    506.79x = 699.98 × 360.08
  4. Step 4: Simplify right side
    506.79x = 252,046.12
  5. Step 5: Solve for x
    x = 252,046.12/506.79
  6. Step 6: Final answer
    x = 497.34

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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.