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Finding the Fourth Proportional to 862, 1,189.56 and 469

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Solution

The fourth proportional to 862, 1,189.56 and 469 is: 647.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    862 : 1,189.56 = 469 : x
  2. Step 2: Convert to fraction form
    862/1,189.56 = 469/x
  3. Step 3: Cross multiply
    862x = 1,189.56 × 469
  4. Step 4: Simplify right side
    862x = 557,903.64
  5. Step 5: Solve for x
    x = 557,903.64/862
  6. Step 6: Final answer
    x = 647.22

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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.