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Finding the Fourth Proportional to 1,134.01, 1,564.95 and 668.26

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Solution

The fourth proportional to 1,134.01, 1,564.95 and 668.26 is: 922.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.01 : 1,564.95 = 668.26 : x
  2. Step 2: Convert to fraction form
    1,134.01/1,564.95 = 668.26/x
  3. Step 3: Cross multiply
    1,134.01x = 1,564.95 × 668.26
  4. Step 4: Simplify right side
    1,134.01x = 1,045,793.49
  5. Step 5: Solve for x
    x = 1,045,793.49/1,134.01
  6. Step 6: Final answer
    x = 922.21

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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.