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Finding the Fourth Proportional to 889.88, 1,228.88 and 595.84

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Solution

The fourth proportional to 889.88, 1,228.88 and 595.84 is: 822.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.88 : 1,228.88 = 595.84 : x
  2. Step 2: Convert to fraction form
    889.88/1,228.88 = 595.84/x
  3. Step 3: Cross multiply
    889.88x = 1,228.88 × 595.84
  4. Step 4: Simplify right side
    889.88x = 732,215.86
  5. Step 5: Solve for x
    x = 732,215.86/889.88
  6. Step 6: Final answer
    x = 822.83

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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.