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Finding the Fourth Proportional to 1,108.53, 1,661.49 and 712.70

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Solution

The fourth proportional to 1,108.53, 1,661.49 and 712.70 is: 1,068.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.53 : 1,661.49 = 712.70 : x
  2. Step 2: Convert to fraction form
    1,108.53/1,661.49 = 712.70/x
  3. Step 3: Cross multiply
    1,108.53x = 1,661.49 × 712.70
  4. Step 4: Simplify right side
    1,108.53x = 1,184,143.92
  5. Step 5: Solve for x
    x = 1,184,143.92/1,108.53
  6. Step 6: Final answer
    x = 1,068.22

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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.