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Finding the Fourth Proportional to 894.92, 1,234.58 and 580.29

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Solution

The fourth proportional to 894.92, 1,234.58 and 580.29 is: 800.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.92 : 1,234.58 = 580.29 : x
  2. Step 2: Convert to fraction form
    894.92/1,234.58 = 580.29/x
  3. Step 3: Cross multiply
    894.92x = 1,234.58 × 580.29
  4. Step 4: Simplify right side
    894.92x = 716,411.53
  5. Step 5: Solve for x
    x = 716,411.53/894.92
  6. Step 6: Final answer
    x = 800.54

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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.