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Finding the Fourth Proportional to 857.91, 1,285.65 and 627.33

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Solution

The fourth proportional to 857.91, 1,285.65 and 627.33 is: 940.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.91 : 1,285.65 = 627.33 : x
  2. Step 2: Convert to fraction form
    857.91/1,285.65 = 627.33/x
  3. Step 3: Cross multiply
    857.91x = 1,285.65 × 627.33
  4. Step 4: Simplify right side
    857.91x = 806,526.81
  5. Step 5: Solve for x
    x = 806,526.81/857.91
  6. Step 6: Final answer
    x = 940.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.