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Finding the Fourth Proportional to 828.57, 1,144.19 and 534.35

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Solution

The fourth proportional to 828.57, 1,144.19 and 534.35 is: 737.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.57 : 1,144.19 = 534.35 : x
  2. Step 2: Convert to fraction form
    828.57/1,144.19 = 534.35/x
  3. Step 3: Cross multiply
    828.57x = 1,144.19 × 534.35
  4. Step 4: Simplify right side
    828.57x = 611,397.93
  5. Step 5: Solve for x
    x = 611,397.93/828.57
  6. Step 6: Final answer
    x = 737.90

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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.