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Finding the Fourth Proportional to 889.90, 1,228.47 and 595.36

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Solution

The fourth proportional to 889.90, 1,228.47 and 595.36 is: 821.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.90 : 1,228.47 = 595.36 : x
  2. Step 2: Convert to fraction form
    889.90/1,228.47 = 595.36/x
  3. Step 3: Cross multiply
    889.90x = 1,228.47 × 595.36
  4. Step 4: Simplify right side
    889.90x = 731,375.76
  5. Step 5: Solve for x
    x = 731,375.76/889.90
  6. Step 6: Final answer
    x = 821.87

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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.