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Finding the Fourth Proportional to 684.25, 943.51 and 462.81

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Solution

The fourth proportional to 684.25, 943.51 and 462.81 is: 638.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.25 : 943.51 = 462.81 : x
  2. Step 2: Convert to fraction form
    684.25/943.51 = 462.81/x
  3. Step 3: Cross multiply
    684.25x = 943.51 × 462.81
  4. Step 4: Simplify right side
    684.25x = 436,669.76
  5. Step 5: Solve for x
    x = 436,669.76/684.25
  6. Step 6: Final answer
    x = 638.18

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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.