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Finding the Fourth Proportional to 503.99, 695.59 and 294.20

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Solution

The fourth proportional to 503.99, 695.59 and 294.20 is: 406.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.99 : 695.59 = 294.20 : x
  2. Step 2: Convert to fraction form
    503.99/695.59 = 294.20/x
  3. Step 3: Cross multiply
    503.99x = 695.59 × 294.20
  4. Step 4: Simplify right side
    503.99x = 204,641.11
  5. Step 5: Solve for x
    x = 204,641.11/503.99
  6. Step 6: Final answer
    x = 406.04

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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.