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Finding the Fourth Proportional to 896.25, 1,237.37 and 586.29

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Solution

The fourth proportional to 896.25, 1,237.37 and 586.29 is: 809.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.25 : 1,237.37 = 586.29 : x
  2. Step 2: Convert to fraction form
    896.25/1,237.37 = 586.29/x
  3. Step 3: Cross multiply
    896.25x = 1,237.37 × 586.29
  4. Step 4: Simplify right side
    896.25x = 725,454.73
  5. Step 5: Solve for x
    x = 725,454.73/896.25
  6. Step 6: Final answer
    x = 809.43

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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.