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Finding the Fourth Proportional to 894.54, 1,234.09 and 615.14

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Solution

The fourth proportional to 894.54, 1,234.09 and 615.14 is: 848.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.54 : 1,234.09 = 615.14 : x
  2. Step 2: Convert to fraction form
    894.54/1,234.09 = 615.14/x
  3. Step 3: Cross multiply
    894.54x = 1,234.09 × 615.14
  4. Step 4: Simplify right side
    894.54x = 759,140.83
  5. Step 5: Solve for x
    x = 759,140.83/894.54
  6. Step 6: Final answer
    x = 848.63

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Double scale
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1.5x scale

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.