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Finding the Fourth Proportional to 456.92, 684.32 and 294.12

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Solution

The fourth proportional to 456.92, 684.32 and 294.12 is: 440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.92 : 684.32 = 294.12 : x
  2. Step 2: Convert to fraction form
    456.92/684.32 = 294.12/x
  3. Step 3: Cross multiply
    456.92x = 684.32 × 294.12
  4. Step 4: Simplify right side
    456.92x = 201,272.20
  5. Step 5: Solve for x
    x = 201,272.20/456.92
  6. Step 6: Final answer
    x = 440.50

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Half scale
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Double scale
Find fourth proportional to 457.92, 685.82 and 295.12
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.