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Finding the Fourth Proportional to 656.25, 983.43 and 378.59

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Solution

The fourth proportional to 656.25, 983.43 and 378.59 is: 567.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.25 : 983.43 = 378.59 : x
  2. Step 2: Convert to fraction form
    656.25/983.43 = 378.59/x
  3. Step 3: Cross multiply
    656.25x = 983.43 × 378.59
  4. Step 4: Simplify right side
    656.25x = 372,314.87
  5. Step 5: Solve for x
    x = 372,314.87/656.25
  6. Step 6: Final answer
    x = 567.34

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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.