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Finding the Fourth Proportional to 896.46, 1,234.54 and 807.18

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Solution

The fourth proportional to 896.46, 1,234.54 and 807.18 is: 1,111.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.46 : 1,234.54 = 807.18 : x
  2. Step 2: Convert to fraction form
    896.46/1,234.54 = 807.18/x
  3. Step 3: Cross multiply
    896.46x = 1,234.54 × 807.18
  4. Step 4: Simplify right side
    896.46x = 996,496.00
  5. Step 5: Solve for x
    x = 996,496.00/896.46
  6. Step 6: Final answer
    x = 1,111.59

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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.