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Finding the Fourth Proportional to 1,240.79, 1,860.72 and 418.83

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Solution

The fourth proportional to 1,240.79, 1,860.72 and 418.83 is: 628.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.79 : 1,860.72 = 418.83 : x
  2. Step 2: Convert to fraction form
    1,240.79/1,860.72 = 418.83/x
  3. Step 3: Cross multiply
    1,240.79x = 1,860.72 × 418.83
  4. Step 4: Simplify right side
    1,240.79x = 779,325.36
  5. Step 5: Solve for x
    x = 779,325.36/1,240.79
  6. Step 6: Final answer
    x = 628.09

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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.