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Finding the Fourth Proportional to 1,270.17, 1,903.72 and 538.21

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Solution

The fourth proportional to 1,270.17, 1,903.72 and 538.21 is: 806.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.17 : 1,903.72 = 538.21 : x
  2. Step 2: Convert to fraction form
    1,270.17/1,903.72 = 538.21/x
  3. Step 3: Cross multiply
    1,270.17x = 1,903.72 × 538.21
  4. Step 4: Simplify right side
    1,270.17x = 1,024,592.88
  5. Step 5: Solve for x
    x = 1,024,592.88/1,270.17
  6. Step 6: Final answer
    x = 806.66

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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.