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Finding the Fourth Proportional to 684.72, 1,023.84 and 461.70

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Solution

The fourth proportional to 684.72, 1,023.84 and 461.70 is: 690.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.72 : 1,023.84 = 461.70 : x
  2. Step 2: Convert to fraction form
    684.72/1,023.84 = 461.70/x
  3. Step 3: Cross multiply
    684.72x = 1,023.84 × 461.70
  4. Step 4: Simplify right side
    684.72x = 472,706.93
  5. Step 5: Solve for x
    x = 472,706.93/684.72
  6. Step 6: Final answer
    x = 690.37

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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.