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Finding the Fourth Proportional to 839.22, 1,158.02 and 507.80

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Solution

The fourth proportional to 839.22, 1,158.02 and 507.80 is: 700.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.22 : 1,158.02 = 507.80 : x
  2. Step 2: Convert to fraction form
    839.22/1,158.02 = 507.80/x
  3. Step 3: Cross multiply
    839.22x = 1,158.02 × 507.80
  4. Step 4: Simplify right side
    839.22x = 588,042.56
  5. Step 5: Solve for x
    x = 588,042.56/839.22
  6. Step 6: Final answer
    x = 700.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.