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Finding the Fourth Proportional to 657.64, 984.57 and 644.82

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Solution

The fourth proportional to 657.64, 984.57 and 644.82 is: 965.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.64 : 984.57 = 644.82 : x
  2. Step 2: Convert to fraction form
    657.64/984.57 = 644.82/x
  3. Step 3: Cross multiply
    657.64x = 984.57 × 644.82
  4. Step 4: Simplify right side
    657.64x = 634,870.43
  5. Step 5: Solve for x
    x = 634,870.43/657.64
  6. Step 6: Final answer
    x = 965.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.