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Finding the Fourth Proportional to 842.24, 1,160.48 and 608.96

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Solution

The fourth proportional to 842.24, 1,160.48 and 608.96 is: 839.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.24 : 1,160.48 = 608.96 : x
  2. Step 2: Convert to fraction form
    842.24/1,160.48 = 608.96/x
  3. Step 3: Cross multiply
    842.24x = 1,160.48 × 608.96
  4. Step 4: Simplify right side
    842.24x = 706,685.90
  5. Step 5: Solve for x
    x = 706,685.90/842.24
  6. Step 6: Final answer
    x = 839.06

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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.