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Finding the Fourth Proportional to 889.61, 1,227.75 and 535.65

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Solution

The fourth proportional to 889.61, 1,227.75 and 535.65 is: 739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.61 : 1,227.75 = 535.65 : x
  2. Step 2: Convert to fraction form
    889.61/1,227.75 = 535.65/x
  3. Step 3: Cross multiply
    889.61x = 1,227.75 × 535.65
  4. Step 4: Simplify right side
    889.61x = 657,644.29
  5. Step 5: Solve for x
    x = 657,644.29/889.61
  6. Step 6: Final answer
    x = 739.25

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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.