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Finding the Fourth Proportional to 657.40, 913.44 and 650.55

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Solution

The fourth proportional to 657.40, 913.44 and 650.55 is: 903.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.40 : 913.44 = 650.55 : x
  2. Step 2: Convert to fraction form
    657.40/913.44 = 650.55/x
  3. Step 3: Cross multiply
    657.40x = 913.44 × 650.55
  4. Step 4: Simplify right side
    657.40x = 594,232.20
  5. Step 5: Solve for x
    x = 594,232.20/657.40
  6. Step 6: Final answer
    x = 903.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.