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Finding the Fourth Proportional to 890.44, 1,333.78 and 564.18

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Solution

The fourth proportional to 890.44, 1,333.78 and 564.18 is: 845.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.44 : 1,333.78 = 564.18 : x
  2. Step 2: Convert to fraction form
    890.44/1,333.78 = 564.18/x
  3. Step 3: Cross multiply
    890.44x = 1,333.78 × 564.18
  4. Step 4: Simplify right side
    890.44x = 752,492.00
  5. Step 5: Solve for x
    x = 752,492.00/890.44
  6. Step 6: Final answer
    x = 845.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.