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Finding the Fourth Proportional to 889.98, 1,227.78 and 594.96

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Solution

The fourth proportional to 889.98, 1,227.78 and 594.96 is: 820.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.98 : 1,227.78 = 594.96 : x
  2. Step 2: Convert to fraction form
    889.98/1,227.78 = 594.96/x
  3. Step 3: Cross multiply
    889.98x = 1,227.78 × 594.96
  4. Step 4: Simplify right side
    889.98x = 730,479.99
  5. Step 5: Solve for x
    x = 730,479.99/889.98
  6. Step 6: Final answer
    x = 820.78

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1.5x scale

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.