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Finding the Fourth Proportional to 828.70, 1,143.48 and 497.08

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Solution

The fourth proportional to 828.70, 1,143.48 and 497.08 is: 685.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.70 : 1,143.48 = 497.08 : x
  2. Step 2: Convert to fraction form
    828.70/1,143.48 = 497.08/x
  3. Step 3: Cross multiply
    828.70x = 1,143.48 × 497.08
  4. Step 4: Simplify right side
    828.70x = 568,401.04
  5. Step 5: Solve for x
    x = 568,401.04/828.70
  6. Step 6: Final answer
    x = 685.89

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.