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Finding the Fourth Proportional to 828.76, 1,143.75 and 548.52

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Solution

The fourth proportional to 828.76, 1,143.75 and 548.52 is: 756.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.76 : 1,143.75 = 548.52 : x
  2. Step 2: Convert to fraction form
    828.76/1,143.75 = 548.52/x
  3. Step 3: Cross multiply
    828.76x = 1,143.75 × 548.52
  4. Step 4: Simplify right side
    828.76x = 627,364.43
  5. Step 5: Solve for x
    x = 627,364.43/828.76
  6. Step 6: Final answer
    x = 756.99

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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.