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Finding the Fourth Proportional to 684.13, 1,025.82 and 294.01

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Solution

The fourth proportional to 684.13, 1,025.82 and 294.01 is: 440.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.13 : 1,025.82 = 294.01 : x
  2. Step 2: Convert to fraction form
    684.13/1,025.82 = 294.01/x
  3. Step 3: Cross multiply
    684.13x = 1,025.82 × 294.01
  4. Step 4: Simplify right side
    684.13x = 301,601.34
  5. Step 5: Solve for x
    x = 301,601.34/684.13
  6. Step 6: Final answer
    x = 440.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.