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Finding the Fourth Proportional to 828.76, 1,143.12 and 693.78

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Solution

The fourth proportional to 828.76, 1,143.12 and 693.78 is: 956.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.76 : 1,143.12 = 693.78 : x
  2. Step 2: Convert to fraction form
    828.76/1,143.12 = 693.78/x
  3. Step 3: Cross multiply
    828.76x = 1,143.12 × 693.78
  4. Step 4: Simplify right side
    828.76x = 793,073.79
  5. Step 5: Solve for x
    x = 793,073.79/828.76
  6. Step 6: Final answer
    x = 956.94

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Half scale
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Double scale
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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.