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Finding the Fourth Proportional to 887.81, 1,224.23 and 666.36

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Solution

The fourth proportional to 887.81, 1,224.23 and 666.36 is: 918.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.81 : 1,224.23 = 666.36 : x
  2. Step 2: Convert to fraction form
    887.81/1,224.23 = 666.36/x
  3. Step 3: Cross multiply
    887.81x = 1,224.23 × 666.36
  4. Step 4: Simplify right side
    887.81x = 815,774.57
  5. Step 5: Solve for x
    x = 815,774.57/887.81
  6. Step 6: Final answer
    x = 918.87

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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.