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Finding the Fourth Proportional to 890.29, 1,334.59 and 427.83

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Solution

The fourth proportional to 890.29, 1,334.59 and 427.83 is: 641.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.29 : 1,334.59 = 427.83 : x
  2. Step 2: Convert to fraction form
    890.29/1,334.59 = 427.83/x
  3. Step 3: Cross multiply
    890.29x = 1,334.59 × 427.83
  4. Step 4: Simplify right side
    890.29x = 570,971.57
  5. Step 5: Solve for x
    x = 570,971.57/890.29
  6. Step 6: Final answer
    x = 641.33

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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.