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Finding the Fourth Proportional to 883.94, 1,325.97 and 561.42

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Solution

The fourth proportional to 883.94, 1,325.97 and 561.42 is: 842.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.94 : 1,325.97 = 561.42 : x
  2. Step 2: Convert to fraction form
    883.94/1,325.97 = 561.42/x
  3. Step 3: Cross multiply
    883.94x = 1,325.97 × 561.42
  4. Step 4: Simplify right side
    883.94x = 744,426.08
  5. Step 5: Solve for x
    x = 744,426.08/883.94
  6. Step 6: Final answer
    x = 842.17

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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.