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Finding the Fourth Proportional to 1,148.49, 1,722.22 and 407.99

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Solution

The fourth proportional to 1,148.49, 1,722.22 and 407.99 is: 611.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.49 : 1,722.22 = 407.99 : x
  2. Step 2: Convert to fraction form
    1,148.49/1,722.22 = 407.99/x
  3. Step 3: Cross multiply
    1,148.49x = 1,722.22 × 407.99
  4. Step 4: Simplify right side
    1,148.49x = 702,648.54
  5. Step 5: Solve for x
    x = 702,648.54/1,148.49
  6. Step 6: Final answer
    x = 611.80

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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.