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Finding the Fourth Proportional to 684.51, 944.13 and 474.31

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Solution

The fourth proportional to 684.51, 944.13 and 474.31 is: 654.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.51 : 944.13 = 474.31 : x
  2. Step 2: Convert to fraction form
    684.51/944.13 = 474.31/x
  3. Step 3: Cross multiply
    684.51x = 944.13 × 474.31
  4. Step 4: Simplify right side
    684.51x = 447,810.30
  5. Step 5: Solve for x
    x = 447,810.30/684.51
  6. Step 6: Final answer
    x = 654.21

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Double scale
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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.