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Finding the Fourth Proportional to 862.34, 1,293.42 and 314.36

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Solution

The fourth proportional to 862.34, 1,293.42 and 314.36 is: 471.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.34 : 1,293.42 = 314.36 : x
  2. Step 2: Convert to fraction form
    862.34/1,293.42 = 314.36/x
  3. Step 3: Cross multiply
    862.34x = 1,293.42 × 314.36
  4. Step 4: Simplify right side
    862.34x = 406,599.51
  5. Step 5: Solve for x
    x = 406,599.51/862.34
  6. Step 6: Final answer
    x = 471.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.