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Finding the Fourth Proportional to 1,188.64, 1,640.30 and 657.55

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Solution

The fourth proportional to 1,188.64, 1,640.30 and 657.55 is: 907.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.64 : 1,640.30 = 657.55 : x
  2. Step 2: Convert to fraction form
    1,188.64/1,640.30 = 657.55/x
  3. Step 3: Cross multiply
    1,188.64x = 1,640.30 × 657.55
  4. Step 4: Simplify right side
    1,188.64x = 1,078,579.27
  5. Step 5: Solve for x
    x = 1,078,579.27/1,188.64
  6. Step 6: Final answer
    x = 907.41

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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.