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Finding the Fourth Proportional to 1,043.88, 1,564.77 and 427.77

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Solution

The fourth proportional to 1,043.88, 1,564.77 and 427.77 is: 641.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.88 : 1,564.77 = 427.77 : x
  2. Step 2: Convert to fraction form
    1,043.88/1,564.77 = 427.77/x
  3. Step 3: Cross multiply
    1,043.88x = 1,564.77 × 427.77
  4. Step 4: Simplify right side
    1,043.88x = 669,361.66
  5. Step 5: Solve for x
    x = 669,361.66/1,043.88
  6. Step 6: Final answer
    x = 641.22

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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.