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Finding the Fourth Proportional to 839.24, 1,157.91 and 507.68

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Solution

The fourth proportional to 839.24, 1,157.91 and 507.68 is: 700.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.24 : 1,157.91 = 507.68 : x
  2. Step 2: Convert to fraction form
    839.24/1,157.91 = 507.68/x
  3. Step 3: Cross multiply
    839.24x = 1,157.91 × 507.68
  4. Step 4: Simplify right side
    839.24x = 587,841.96
  5. Step 5: Solve for x
    x = 587,841.96/839.24
  6. Step 6: Final answer
    x = 700.45

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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.