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Finding the Fourth Proportional to 863.84, 1,293.32 and 631.78

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Solution

The fourth proportional to 863.84, 1,293.32 and 631.78 is: 945.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.84 : 1,293.32 = 631.78 : x
  2. Step 2: Convert to fraction form
    863.84/1,293.32 = 631.78/x
  3. Step 3: Cross multiply
    863.84x = 1,293.32 × 631.78
  4. Step 4: Simplify right side
    863.84x = 817,093.71
  5. Step 5: Solve for x
    x = 817,093.71/863.84
  6. Step 6: Final answer
    x = 945.89

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Double scale
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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.