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Finding the Fourth Proportional to 857.78, 1,182 and 621.32

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Solution

The fourth proportional to 857.78, 1,182 and 621.32 is: 856.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.78 : 1,182 = 621.32 : x
  2. Step 2: Convert to fraction form
    857.78/1,182 = 621.32/x
  3. Step 3: Cross multiply
    857.78x = 1,182 × 621.32
  4. Step 4: Simplify right side
    857.78x = 734,394.33
  5. Step 5: Solve for x
    x = 734,394.33/857.78
  6. Step 6: Final answer
    x = 856.16

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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.