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Finding the Fourth Proportional to 684.72, 946.40 and 605.48

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Solution

The fourth proportional to 684.72, 946.40 and 605.48 is: 836.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.72 : 946.40 = 605.48 : x
  2. Step 2: Convert to fraction form
    684.72/946.40 = 605.48/x
  3. Step 3: Cross multiply
    684.72x = 946.40 × 605.48
  4. Step 4: Simplify right side
    684.72x = 573,026.27
  5. Step 5: Solve for x
    x = 573,026.27/684.72
  6. Step 6: Final answer
    x = 836.88

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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.