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Finding the Fourth Proportional to 657.48, 984.74 and 382.88

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Solution

The fourth proportional to 657.48, 984.74 and 382.88 is: 573.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.48 : 984.74 = 382.88 : x
  2. Step 2: Convert to fraction form
    657.48/984.74 = 382.88/x
  3. Step 3: Cross multiply
    657.48x = 984.74 × 382.88
  4. Step 4: Simplify right side
    657.48x = 377,037.25
  5. Step 5: Solve for x
    x = 377,037.25/657.48
  6. Step 6: Final answer
    x = 573.46

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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.