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Finding the Fourth Proportional to 1,239.89, 1,858.75 and 509

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Solution

The fourth proportional to 1,239.89, 1,858.75 and 509 is: 763.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.89 : 1,858.75 = 509 : x
  2. Step 2: Convert to fraction form
    1,239.89/1,858.75 = 509/x
  3. Step 3: Cross multiply
    1,239.89x = 1,858.75 × 509
  4. Step 4: Simplify right side
    1,239.89x = 946,103.75
  5. Step 5: Solve for x
    x = 946,103.75/1,239.89
  6. Step 6: Final answer
    x = 763.05

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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.