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Finding the Fourth Proportional to 890.48, 1,229.55 and 693.65

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Solution

The fourth proportional to 890.48, 1,229.55 and 693.65 is: 957.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.48 : 1,229.55 = 693.65 : x
  2. Step 2: Convert to fraction form
    890.48/1,229.55 = 693.65/x
  3. Step 3: Cross multiply
    890.48x = 1,229.55 × 693.65
  4. Step 4: Simplify right side
    890.48x = 852,880.43
  5. Step 5: Solve for x
    x = 852,880.43/890.48
  6. Step 6: Final answer
    x = 957.77

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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.