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Finding the Fourth Proportional to 859.69, 1,295.88 and 809.51

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Solution

The fourth proportional to 859.69, 1,295.88 and 809.51 is: 1,220.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.69 : 1,295.88 = 809.51 : x
  2. Step 2: Convert to fraction form
    859.69/1,295.88 = 809.51/x
  3. Step 3: Cross multiply
    859.69x = 1,295.88 × 809.51
  4. Step 4: Simplify right side
    859.69x = 1,049,023.77
  5. Step 5: Solve for x
    x = 1,049,023.77/859.69
  6. Step 6: Final answer
    x = 1,220.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.