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Finding the Fourth Proportional to 890.25, 1,229.16 and 704.67

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Solution

The fourth proportional to 890.25, 1,229.16 and 704.67 is: 972.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.25 : 1,229.16 = 704.67 : x
  2. Step 2: Convert to fraction form
    890.25/1,229.16 = 704.67/x
  3. Step 3: Cross multiply
    890.25x = 1,229.16 × 704.67
  4. Step 4: Simplify right side
    890.25x = 866,152.18
  5. Step 5: Solve for x
    x = 866,152.18/890.25
  6. Step 6: Final answer
    x = 972.93

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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.