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Finding the Fourth Proportional to 684.59, 944.17 and 463.19

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Solution

The fourth proportional to 684.59, 944.17 and 463.19 is: 638.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.59 : 944.17 = 463.19 : x
  2. Step 2: Convert to fraction form
    684.59/944.17 = 463.19/x
  3. Step 3: Cross multiply
    684.59x = 944.17 × 463.19
  4. Step 4: Simplify right side
    684.59x = 437,324.22
  5. Step 5: Solve for x
    x = 437,324.22/684.59
  6. Step 6: Final answer
    x = 638.82

Related Problems

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Half scale
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Double scale
Find fourth proportional to 685.59, 945.55 and 464.19
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.