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Finding the Fourth Proportional to 684.39, 944.89 and 474.49

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Solution

The fourth proportional to 684.39, 944.89 and 474.49 is: 655.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.39 : 944.89 = 474.49 : x
  2. Step 2: Convert to fraction form
    684.39/944.89 = 474.49/x
  3. Step 3: Cross multiply
    684.39x = 944.89 × 474.49
  4. Step 4: Simplify right side
    684.39x = 448,337.31
  5. Step 5: Solve for x
    x = 448,337.31/684.39
  6. Step 6: Final answer
    x = 655.09

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1.5x scale

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.