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Finding the Fourth Proportional to 504, 695.69 and 294.23

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Solution

The fourth proportional to 504, 695.69 and 294.23 is: 406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    504 : 695.69 = 294.23 : x
  2. Step 2: Convert to fraction form
    504/695.69 = 294.23/x
  3. Step 3: Cross multiply
    504x = 695.69 × 294.23
  4. Step 4: Simplify right side
    504x = 204,687.92
  5. Step 5: Solve for x
    x = 204,687.92/504
  6. Step 6: Final answer
    x = 406.13

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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.