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Finding the Fourth Proportional to 1,048.96, 1,447.72 and 606.80

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Solution

The fourth proportional to 1,048.96, 1,447.72 and 606.80 is: 837.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.96 : 1,447.72 = 606.80 : x
  2. Step 2: Convert to fraction form
    1,048.96/1,447.72 = 606.80/x
  3. Step 3: Cross multiply
    1,048.96x = 1,447.72 × 606.80
  4. Step 4: Simplify right side
    1,048.96x = 878,476.50
  5. Step 5: Solve for x
    x = 878,476.50/1,048.96
  6. Step 6: Final answer
    x = 837.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.