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Finding the Fourth Proportional to 684.09, 944.19 and 474.71

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Solution

The fourth proportional to 684.09, 944.19 and 474.71 is: 655.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.09 : 944.19 = 474.71 : x
  2. Step 2: Convert to fraction form
    684.09/944.19 = 474.71/x
  3. Step 3: Cross multiply
    684.09x = 944.19 × 474.71
  4. Step 4: Simplify right side
    684.09x = 448,211.71
  5. Step 5: Solve for x
    x = 448,211.71/684.09
  6. Step 6: Final answer
    x = 655.19

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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.