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Finding the Fourth Proportional to 684.72, 945.04 and 661.94

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Solution

The fourth proportional to 684.72, 945.04 and 661.94 is: 913.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.72 : 945.04 = 661.94 : x
  2. Step 2: Convert to fraction form
    684.72/945.04 = 661.94/x
  3. Step 3: Cross multiply
    684.72x = 945.04 × 661.94
  4. Step 4: Simplify right side
    684.72x = 625,560.49
  5. Step 5: Solve for x
    x = 625,560.49/684.72
  6. Step 6: Final answer
    x = 913.60

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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.