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Finding the Fourth Proportional to 858.71, 1,287.21 and 533.90

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Solution

The fourth proportional to 858.71, 1,287.21 and 533.90 is: 800.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.71 : 1,287.21 = 533.90 : x
  2. Step 2: Convert to fraction form
    858.71/1,287.21 = 533.90/x
  3. Step 3: Cross multiply
    858.71x = 1,287.21 × 533.90
  4. Step 4: Simplify right side
    858.71x = 687,241.42
  5. Step 5: Solve for x
    x = 687,241.42/858.71
  6. Step 6: Final answer
    x = 800.32

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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.