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Finding the Fourth Proportional to 828.99, 1,143.88 and 534.66

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Solution

The fourth proportional to 828.99, 1,143.88 and 534.66 is: 737.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.99 : 1,143.88 = 534.66 : x
  2. Step 2: Convert to fraction form
    828.99/1,143.88 = 534.66/x
  3. Step 3: Cross multiply
    828.99x = 1,143.88 × 534.66
  4. Step 4: Simplify right side
    828.99x = 611,581.25
  5. Step 5: Solve for x
    x = 611,581.25/828.99
  6. Step 6: Final answer
    x = 737.74

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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.