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Finding the Fourth Proportional to 1,223.90, 1,716.70 and 1,223.90

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Solution

The fourth proportional to 1,223.90, 1,716.70 and 1,223.90 is: 1,716.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.90 : 1,716.70 = 1,223.90 : x
  2. Step 2: Convert to fraction form
    1,223.90/1,716.70 = 1,223.90/x
  3. Step 3: Cross multiply
    1,223.90x = 1,716.70 × 1,223.90
  4. Step 4: Simplify right side
    1,223.90x = 2,101,069.13
  5. Step 5: Solve for x
    x = 2,101,069.13/1,223.90
  6. Step 6: Final answer
    x = 1,716.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.