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Finding the Fourth Proportional to 503.35, 694.57 and 293.53

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Solution

The fourth proportional to 503.35, 694.57 and 293.53 is: 405.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.35 : 694.57 = 293.53 : x
  2. Step 2: Convert to fraction form
    503.35/694.57 = 293.53/x
  3. Step 3: Cross multiply
    503.35x = 694.57 × 293.53
  4. Step 4: Simplify right side
    503.35x = 203,877.13
  5. Step 5: Solve for x
    x = 203,877.13/503.35
  6. Step 6: Final answer
    x = 405.04

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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.