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Finding the Fourth Proportional to 1,188.61, 1,639.48 and 774.61

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Solution

The fourth proportional to 1,188.61, 1,639.48 and 774.61 is: 1,068.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.61 : 1,639.48 = 774.61 : x
  2. Step 2: Convert to fraction form
    1,188.61/1,639.48 = 774.61/x
  3. Step 3: Cross multiply
    1,188.61x = 1,639.48 × 774.61
  4. Step 4: Simplify right side
    1,188.61x = 1,269,957.60
  5. Step 5: Solve for x
    x = 1,269,957.60/1,188.61
  6. Step 6: Final answer
    x = 1,068.44

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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.