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Finding the Fourth Proportional to 839.05, 1,157.71 and 507.41

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Solution

The fourth proportional to 839.05, 1,157.71 and 507.41 is: 700.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.05 : 1,157.71 = 507.41 : x
  2. Step 2: Convert to fraction form
    839.05/1,157.71 = 507.41/x
  3. Step 3: Cross multiply
    839.05x = 1,157.71 × 507.41
  4. Step 4: Simplify right side
    839.05x = 587,433.63
  5. Step 5: Solve for x
    x = 587,433.63/839.05
  6. Step 6: Final answer
    x = 700.12

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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.