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Finding the Fourth Proportional to 909.58, 1,361.27 and 562.77

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Solution

The fourth proportional to 909.58, 1,361.27 and 562.77 is: 842.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.58 : 1,361.27 = 562.77 : x
  2. Step 2: Convert to fraction form
    909.58/1,361.27 = 562.77/x
  3. Step 3: Cross multiply
    909.58x = 1,361.27 × 562.77
  4. Step 4: Simplify right side
    909.58x = 766,072.30
  5. Step 5: Solve for x
    x = 766,072.30/909.58
  6. Step 6: Final answer
    x = 842.23

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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.