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Finding the Fourth Proportional to 1,238.42, 1,857.89 and 508.07

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Solution

The fourth proportional to 1,238.42, 1,857.89 and 508.07 is: 762.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.42 : 1,857.89 = 508.07 : x
  2. Step 2: Convert to fraction form
    1,238.42/1,857.89 = 508.07/x
  3. Step 3: Cross multiply
    1,238.42x = 1,857.89 × 508.07
  4. Step 4: Simplify right side
    1,238.42x = 943,938.17
  5. Step 5: Solve for x
    x = 943,938.17/1,238.42
  6. Step 6: Final answer
    x = 762.21

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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.