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Finding the Fourth Proportional to 684.91, 944.76 and 463.92

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Solution

The fourth proportional to 684.91, 944.76 and 463.92 is: 639.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.91 : 944.76 = 463.92 : x
  2. Step 2: Convert to fraction form
    684.91/944.76 = 463.92/x
  3. Step 3: Cross multiply
    684.91x = 944.76 × 463.92
  4. Step 4: Simplify right side
    684.91x = 438,293.06
  5. Step 5: Solve for x
    x = 438,293.06/684.91
  6. Step 6: Final answer
    x = 639.93

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.