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Finding the Fourth Proportional to 1,239.12, 1,858.68 and 508.19

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Solution

The fourth proportional to 1,239.12, 1,858.68 and 508.19 is: 762.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.12 : 1,858.68 = 508.19 : x
  2. Step 2: Convert to fraction form
    1,239.12/1,858.68 = 508.19/x
  3. Step 3: Cross multiply
    1,239.12x = 1,858.68 × 508.19
  4. Step 4: Simplify right side
    1,239.12x = 944,553.30
  5. Step 5: Solve for x
    x = 944,553.30/1,239.12
  6. Step 6: Final answer
    x = 762.28

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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.