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Finding the Fourth Proportional to 1,223.58, 1,687.88 and 774.63

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Solution

The fourth proportional to 1,223.58, 1,687.88 and 774.63 is: 1,068.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.58 : 1,687.88 = 774.63 : x
  2. Step 2: Convert to fraction form
    1,223.58/1,687.88 = 774.63/x
  3. Step 3: Cross multiply
    1,223.58x = 1,687.88 × 774.63
  4. Step 4: Simplify right side
    1,223.58x = 1,307,487.85
  5. Step 5: Solve for x
    x = 1,307,487.85/1,223.58
  6. Step 6: Final answer
    x = 1,068.57

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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.