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Finding the Fourth Proportional to 684.19, 944.61 and 474.29

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Solution

The fourth proportional to 684.19, 944.61 and 474.29 is: 654.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.19 : 944.61 = 474.29 : x
  2. Step 2: Convert to fraction form
    684.19/944.61 = 474.29/x
  3. Step 3: Cross multiply
    684.19x = 944.61 × 474.29
  4. Step 4: Simplify right side
    684.19x = 448,014.35
  5. Step 5: Solve for x
    x = 448,014.35/684.19
  6. Step 6: Final answer
    x = 654.81

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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.