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Finding the Fourth Proportional to 503.48, 694.76 and 293.70

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Solution

The fourth proportional to 503.48, 694.76 and 293.70 is: 405.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.48 : 694.76 = 293.70 : x
  2. Step 2: Convert to fraction form
    503.48/694.76 = 293.70/x
  3. Step 3: Cross multiply
    503.48x = 694.76 × 293.70
  4. Step 4: Simplify right side
    503.48x = 204,051.01
  5. Step 5: Solve for x
    x = 204,051.01/503.48
  6. Step 6: Final answer
    x = 405.28

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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.