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Finding the Fourth Proportional to 859.72, 1,287.66 and 534.16

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Solution

The fourth proportional to 859.72, 1,287.66 and 534.16 is: 800.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.72 : 1,287.66 = 534.16 : x
  2. Step 2: Convert to fraction form
    859.72/1,287.66 = 534.16/x
  3. Step 3: Cross multiply
    859.72x = 1,287.66 × 534.16
  4. Step 4: Simplify right side
    859.72x = 687,816.47
  5. Step 5: Solve for x
    x = 687,816.47/859.72
  6. Step 6: Final answer
    x = 800.05

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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.