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Finding the Fourth Proportional to 1,026.17, 1,538.15 and 505.56

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Solution

The fourth proportional to 1,026.17, 1,538.15 and 505.56 is: 757.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.17 : 1,538.15 = 505.56 : x
  2. Step 2: Convert to fraction form
    1,026.17/1,538.15 = 505.56/x
  3. Step 3: Cross multiply
    1,026.17x = 1,538.15 × 505.56
  4. Step 4: Simplify right side
    1,026.17x = 777,624.59
  5. Step 5: Solve for x
    x = 777,624.59/1,026.17
  6. Step 6: Final answer
    x = 757.80

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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.