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Finding the Fourth Proportional to 503.40, 694.68 and 296.40

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Solution

The fourth proportional to 503.40, 694.68 and 296.40 is: 409.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.40 : 694.68 = 296.40 : x
  2. Step 2: Convert to fraction form
    503.40/694.68 = 296.40/x
  3. Step 3: Cross multiply
    503.40x = 694.68 × 296.40
  4. Step 4: Simplify right side
    503.40x = 205,903.15
  5. Step 5: Solve for x
    x = 205,903.15/503.40
  6. Step 6: Final answer
    x = 409.02

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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.