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Finding the Fourth Proportional to 506.95, 699.54 and 294.19

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Solution

The fourth proportional to 506.95, 699.54 and 294.19 is: 405.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.95 : 699.54 = 294.19 : x
  2. Step 2: Convert to fraction form
    506.95/699.54 = 294.19/x
  3. Step 3: Cross multiply
    506.95x = 699.54 × 294.19
  4. Step 4: Simplify right side
    506.95x = 205,794.82
  5. Step 5: Solve for x
    x = 205,794.82/506.95
  6. Step 6: Final answer
    x = 405.95

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1.5x scale

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.