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Finding the Fourth Proportional to 1,101.03, 1,520.24 and 708.27

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Solution

The fourth proportional to 1,101.03, 1,520.24 and 708.27 is: 977.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.03 : 1,520.24 = 708.27 : x
  2. Step 2: Convert to fraction form
    1,101.03/1,520.24 = 708.27/x
  3. Step 3: Cross multiply
    1,101.03x = 1,520.24 × 708.27
  4. Step 4: Simplify right side
    1,101.03x = 1,076,736.84
  5. Step 5: Solve for x
    x = 1,076,736.84/1,101.03
  6. Step 6: Final answer
    x = 977.94

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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.