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Finding the Fourth Proportional to 555.52, 828.30 and 534.12

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Solution

The fourth proportional to 555.52, 828.30 and 534.12 is: 796.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.52 : 828.30 = 534.12 : x
  2. Step 2: Convert to fraction form
    555.52/828.30 = 534.12/x
  3. Step 3: Cross multiply
    555.52x = 828.30 × 534.12
  4. Step 4: Simplify right side
    555.52x = 442,411.60
  5. Step 5: Solve for x
    x = 442,411.60/555.52
  6. Step 6: Final answer
    x = 796.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.