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Finding the Fourth Proportional to 1,029, 1,550.64 and 859.50

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Solution

The fourth proportional to 1,029, 1,550.64 and 859.50 is: 1,295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029 : 1,550.64 = 859.50 : x
  2. Step 2: Convert to fraction form
    1,029/1,550.64 = 859.50/x
  3. Step 3: Cross multiply
    1,029x = 1,550.64 × 859.50
  4. Step 4: Simplify right side
    1,029x = 1,332,775.08
  5. Step 5: Solve for x
    x = 1,332,775.08/1,029
  6. Step 6: Final answer
    x = 1,295.21

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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.