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Finding the Fourth Proportional to 828.88, 1,144.00 and 497.34

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Solution

The fourth proportional to 828.88, 1,144.00 and 497.34 is: 686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.88 : 1,144.00 = 497.34 : x
  2. Step 2: Convert to fraction form
    828.88/1,144.00 = 497.34/x
  3. Step 3: Cross multiply
    828.88x = 1,144.00 × 497.34
  4. Step 4: Simplify right side
    828.88x = 568,956.18
  5. Step 5: Solve for x
    x = 568,956.18/828.88
  6. Step 6: Final answer
    x = 686.41

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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.