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Finding the Fourth Proportional to 703.50, 970.56 and 441.78

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Solution

The fourth proportional to 703.50, 970.56 and 441.78 is: 609.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.50 : 970.56 = 441.78 : x
  2. Step 2: Convert to fraction form
    703.50/970.56 = 441.78/x
  3. Step 3: Cross multiply
    703.50x = 970.56 × 441.78
  4. Step 4: Simplify right side
    703.50x = 428,774.00
  5. Step 5: Solve for x
    x = 428,774.00/703.50
  6. Step 6: Final answer
    x = 609.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.