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Finding the Fourth Proportional to 817.94, 1,127.56 and 642.98

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Solution

The fourth proportional to 817.94, 1,127.56 and 642.98 is: 886.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.94 : 1,127.56 = 642.98 : x
  2. Step 2: Convert to fraction form
    817.94/1,127.56 = 642.98/x
  3. Step 3: Cross multiply
    817.94x = 1,127.56 × 642.98
  4. Step 4: Simplify right side
    817.94x = 724,991.28
  5. Step 5: Solve for x
    x = 724,991.28/817.94
  6. Step 6: Final answer
    x = 886.37

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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.