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Finding the Fourth Proportional to 859.86, 1,287.63 and 678.24

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Solution

The fourth proportional to 859.86, 1,287.63 and 678.24 is: 1,015.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.86 : 1,287.63 = 678.24 : x
  2. Step 2: Convert to fraction form
    859.86/1,287.63 = 678.24/x
  3. Step 3: Cross multiply
    859.86x = 1,287.63 × 678.24
  4. Step 4: Simplify right side
    859.86x = 873,322.17
  5. Step 5: Solve for x
    x = 873,322.17/859.86
  6. Step 6: Final answer
    x = 1,015.66

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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.