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Finding the Fourth Proportional to 894.84, 1,234.89 and 580.23

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Solution

The fourth proportional to 894.84, 1,234.89 and 580.23 is: 800.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.84 : 1,234.89 = 580.23 : x
  2. Step 2: Convert to fraction form
    894.84/1,234.89 = 580.23/x
  3. Step 3: Cross multiply
    894.84x = 1,234.89 × 580.23
  4. Step 4: Simplify right side
    894.84x = 716,520.22
  5. Step 5: Solve for x
    x = 716,520.22/894.84
  6. Step 6: Final answer
    x = 800.72

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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.