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Finding the Fourth Proportional to 857.92, 1,184.21 and 609.96

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Solution

The fourth proportional to 857.92, 1,184.21 and 609.96 is: 841.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.92 : 1,184.21 = 609.96 : x
  2. Step 2: Convert to fraction form
    857.92/1,184.21 = 609.96/x
  3. Step 3: Cross multiply
    857.92x = 1,184.21 × 609.96
  4. Step 4: Simplify right side
    857.92x = 722,317.42
  5. Step 5: Solve for x
    x = 722,317.42/857.92
  6. Step 6: Final answer
    x = 841.94

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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.