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Finding the Fourth Proportional to 985.26, 1,359.78 and 571.26

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Solution

The fourth proportional to 985.26, 1,359.78 and 571.26 is: 788.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.26 : 1,359.78 = 571.26 : x
  2. Step 2: Convert to fraction form
    985.26/1,359.78 = 571.26/x
  3. Step 3: Cross multiply
    985.26x = 1,359.78 × 571.26
  4. Step 4: Simplify right side
    985.26x = 776,787.92
  5. Step 5: Solve for x
    x = 776,787.92/985.26
  6. Step 6: Final answer
    x = 788.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.