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Finding the Fourth Proportional to 677.11, 1,015.68 and 214.87

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Solution

The fourth proportional to 677.11, 1,015.68 and 214.87 is: 322.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.11 : 1,015.68 = 214.87 : x
  2. Step 2: Convert to fraction form
    677.11/1,015.68 = 214.87/x
  3. Step 3: Cross multiply
    677.11x = 1,015.68 × 214.87
  4. Step 4: Simplify right side
    677.11x = 218,239.16
  5. Step 5: Solve for x
    x = 218,239.16/677.11
  6. Step 6: Final answer
    x = 322.31

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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.