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Finding the Fourth Proportional to 1,009.21, 1,392.71 and 567.11

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Solution

The fourth proportional to 1,009.21, 1,392.71 and 567.11 is: 782.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.21 : 1,392.71 = 567.11 : x
  2. Step 2: Convert to fraction form
    1,009.21/1,392.71 = 567.11/x
  3. Step 3: Cross multiply
    1,009.21x = 1,392.71 × 567.11
  4. Step 4: Simplify right side
    1,009.21x = 789,820.41
  5. Step 5: Solve for x
    x = 789,820.41/1,009.21
  6. Step 6: Final answer
    x = 782.61

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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.