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Finding the Fourth Proportional to 1,026.22, 1,538.26 and 477.95

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Solution

The fourth proportional to 1,026.22, 1,538.26 and 477.95 is: 716.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.22 : 1,538.26 = 477.95 : x
  2. Step 2: Convert to fraction form
    1,026.22/1,538.26 = 477.95/x
  3. Step 3: Cross multiply
    1,026.22x = 1,538.26 × 477.95
  4. Step 4: Simplify right side
    1,026.22x = 735,208.98
  5. Step 5: Solve for x
    x = 735,208.98/1,026.22
  6. Step 6: Final answer
    x = 716.42

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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.