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Finding the Fourth Proportional to 890.85, 1,229.23 and 536.74

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Solution

The fourth proportional to 890.85, 1,229.23 and 536.74 is: 740.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.85 : 1,229.23 = 536.74 : x
  2. Step 2: Convert to fraction form
    890.85/1,229.23 = 536.74/x
  3. Step 3: Cross multiply
    890.85x = 1,229.23 × 536.74
  4. Step 4: Simplify right side
    890.85x = 659,776.91
  5. Step 5: Solve for x
    x = 659,776.91/890.85
  6. Step 6: Final answer
    x = 740.62

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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.