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Finding the Fourth Proportional to 1,240.47, 1,860.77 and 418.99

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Solution

The fourth proportional to 1,240.47, 1,860.77 and 418.99 is: 628.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.47 : 1,860.77 = 418.99 : x
  2. Step 2: Convert to fraction form
    1,240.47/1,860.77 = 418.99/x
  3. Step 3: Cross multiply
    1,240.47x = 1,860.77 × 418.99
  4. Step 4: Simplify right side
    1,240.47x = 779,644.02
  5. Step 5: Solve for x
    x = 779,644.02/1,240.47
  6. Step 6: Final answer
    x = 628.51

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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.