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Finding the Fourth Proportional to 858.72, 1,286.16 and 533.16

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Solution

The fourth proportional to 858.72, 1,286.16 and 533.16 is: 798.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.72 : 1,286.16 = 533.16 : x
  2. Step 2: Convert to fraction form
    858.72/1,286.16 = 533.16/x
  3. Step 3: Cross multiply
    858.72x = 1,286.16 × 533.16
  4. Step 4: Simplify right side
    858.72x = 685,729.07
  5. Step 5: Solve for x
    x = 685,729.07/858.72
  6. Step 6: Final answer
    x = 798.55

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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.