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Finding the Fourth Proportional to 1,026.46, 1,538.07 and 563.55

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Solution

The fourth proportional to 1,026.46, 1,538.07 and 563.55 is: 844.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.46 : 1,538.07 = 563.55 : x
  2. Step 2: Convert to fraction form
    1,026.46/1,538.07 = 563.55/x
  3. Step 3: Cross multiply
    1,026.46x = 1,538.07 × 563.55
  4. Step 4: Simplify right side
    1,026.46x = 866,779.35
  5. Step 5: Solve for x
    x = 866,779.35/1,026.46
  6. Step 6: Final answer
    x = 844.44

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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.