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Finding the Fourth Proportional to 889.67, 1,227.78 and 535.66

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Solution

The fourth proportional to 889.67, 1,227.78 and 535.66 is: 739.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.67 : 1,227.78 = 535.66 : x
  2. Step 2: Convert to fraction form
    889.67/1,227.78 = 535.66/x
  3. Step 3: Cross multiply
    889.67x = 1,227.78 × 535.66
  4. Step 4: Simplify right side
    889.67x = 657,666.50
  5. Step 5: Solve for x
    x = 657,666.50/889.67
  6. Step 6: Final answer
    x = 739.23

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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.