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Finding the Fourth Proportional to 684.89, 944.70 and 474.96

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Solution

The fourth proportional to 684.89, 944.70 and 474.96 is: 655.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.89 : 944.70 = 474.96 : x
  2. Step 2: Convert to fraction form
    684.89/944.70 = 474.96/x
  3. Step 3: Cross multiply
    684.89x = 944.70 × 474.96
  4. Step 4: Simplify right side
    684.89x = 448,694.71
  5. Step 5: Solve for x
    x = 448,694.71/684.89
  6. Step 6: Final answer
    x = 655.14

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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.