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Finding the Fourth Proportional to 832.91, 1,149.18 and 538.35

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Solution

The fourth proportional to 832.91, 1,149.18 and 538.35 is: 742.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.91 : 1,149.18 = 538.35 : x
  2. Step 2: Convert to fraction form
    832.91/1,149.18 = 538.35/x
  3. Step 3: Cross multiply
    832.91x = 1,149.18 × 538.35
  4. Step 4: Simplify right side
    832.91x = 618,661.05
  5. Step 5: Solve for x
    x = 618,661.05/832.91
  6. Step 6: Final answer
    x = 742.77

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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.