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Finding the Fourth Proportional to 657.32, 984.56 and 518.40

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Solution

The fourth proportional to 657.32, 984.56 and 518.40 is: 776.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.32 : 984.56 = 518.40 : x
  2. Step 2: Convert to fraction form
    657.32/984.56 = 518.40/x
  3. Step 3: Cross multiply
    657.32x = 984.56 × 518.40
  4. Step 4: Simplify right side
    657.32x = 510,393.31
  5. Step 5: Solve for x
    x = 510,393.31/657.32
  6. Step 6: Final answer
    x = 776.48

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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.