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Finding the Fourth Proportional to 503.86, 695.40 and 294.06

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Solution

The fourth proportional to 503.86, 695.40 and 294.06 is: 405.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.86 : 695.40 = 294.06 : x
  2. Step 2: Convert to fraction form
    503.86/695.40 = 294.06/x
  3. Step 3: Cross multiply
    503.86x = 695.40 × 294.06
  4. Step 4: Simplify right side
    503.86x = 204,489.32
  5. Step 5: Solve for x
    x = 204,489.32/503.86
  6. Step 6: Final answer
    x = 405.85

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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.