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Finding the Fourth Proportional to 703.43, 970.54 and 454.89

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Solution

The fourth proportional to 703.43, 970.54 and 454.89 is: 627.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.43 : 970.54 = 454.89 : x
  2. Step 2: Convert to fraction form
    703.43/970.54 = 454.89/x
  3. Step 3: Cross multiply
    703.43x = 970.54 × 454.89
  4. Step 4: Simplify right side
    703.43x = 441,491.44
  5. Step 5: Solve for x
    x = 441,491.44/703.43
  6. Step 6: Final answer
    x = 627.63

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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.