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Finding the Fourth Proportional to 684.23, 943.04 and 463.10

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Solution

The fourth proportional to 684.23, 943.04 and 463.10 is: 638.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.23 : 943.04 = 463.10 : x
  2. Step 2: Convert to fraction form
    684.23/943.04 = 463.10/x
  3. Step 3: Cross multiply
    684.23x = 943.04 × 463.10
  4. Step 4: Simplify right side
    684.23x = 436,718.27
  5. Step 5: Solve for x
    x = 436,718.27/684.23
  6. Step 6: Final answer
    x = 638.27

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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.