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Finding the Fourth Proportional to 832.11, 1,148.40 and 517.58

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Solution

The fourth proportional to 832.11, 1,148.40 and 517.58 is: 714.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.11 : 1,148.40 = 517.58 : x
  2. Step 2: Convert to fraction form
    832.11/1,148.40 = 517.58/x
  3. Step 3: Cross multiply
    832.11x = 1,148.40 × 517.58
  4. Step 4: Simplify right side
    832.11x = 594,383.13
  5. Step 5: Solve for x
    x = 594,383.13/832.11
  6. Step 6: Final answer
    x = 714.31

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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.