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Finding the Fourth Proportional to 684.48, 944.61 and 373.98

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Solution

The fourth proportional to 684.48, 944.61 and 373.98 is: 516.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.48 : 944.61 = 373.98 : x
  2. Step 2: Convert to fraction form
    684.48/944.61 = 373.98/x
  3. Step 3: Cross multiply
    684.48x = 944.61 × 373.98
  4. Step 4: Simplify right side
    684.48x = 353,265.25
  5. Step 5: Solve for x
    x = 353,265.25/684.48
  6. Step 6: Final answer
    x = 516.11

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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.