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Finding the Fourth Proportional to 1,049.71, 1,448.60 and 577.59

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Solution

The fourth proportional to 1,049.71, 1,448.60 and 577.59 is: 797.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.71 : 1,448.60 = 577.59 : x
  2. Step 2: Convert to fraction form
    1,049.71/1,448.60 = 577.59/x
  3. Step 3: Cross multiply
    1,049.71x = 1,448.60 × 577.59
  4. Step 4: Simplify right side
    1,049.71x = 836,689.63
  5. Step 5: Solve for x
    x = 836,689.63/1,049.71
  6. Step 6: Final answer
    x = 797.07

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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.