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Finding the Fourth Proportional to 894.48, 1,234.86 and 580.20

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Solution

The fourth proportional to 894.48, 1,234.86 and 580.20 is: 800.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.48 : 1,234.86 = 580.20 : x
  2. Step 2: Convert to fraction form
    894.48/1,234.86 = 580.20/x
  3. Step 3: Cross multiply
    894.48x = 1,234.86 × 580.20
  4. Step 4: Simplify right side
    894.48x = 716,465.77
  5. Step 5: Solve for x
    x = 716,465.77/894.48
  6. Step 6: Final answer
    x = 800.99

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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.