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Finding the Fourth Proportional to 1,240.81, 1,860.91 and 450.04

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Solution

The fourth proportional to 1,240.81, 1,860.91 and 450.04 is: 674.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.81 : 1,860.91 = 450.04 : x
  2. Step 2: Convert to fraction form
    1,240.81/1,860.91 = 450.04/x
  3. Step 3: Cross multiply
    1,240.81x = 1,860.91 × 450.04
  4. Step 4: Simplify right side
    1,240.81x = 837,483.94
  5. Step 5: Solve for x
    x = 837,483.94/1,240.81
  6. Step 6: Final answer
    x = 674.95

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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.