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Finding the Fourth Proportional to 582.15, 871.20 and 533.55

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Solution

The fourth proportional to 582.15, 871.20 and 533.55 is: 798.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.15 : 871.20 = 533.55 : x
  2. Step 2: Convert to fraction form
    582.15/871.20 = 533.55/x
  3. Step 3: Cross multiply
    582.15x = 871.20 × 533.55
  4. Step 4: Simplify right side
    582.15x = 464,828.76
  5. Step 5: Solve for x
    x = 464,828.76/582.15
  6. Step 6: Final answer
    x = 798.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.