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Finding the Fourth Proportional to 703.58, 969.90 and 454.88

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Solution

The fourth proportional to 703.58, 969.90 and 454.88 is: 627.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.58 : 969.90 = 454.88 : x
  2. Step 2: Convert to fraction form
    703.58/969.90 = 454.88/x
  3. Step 3: Cross multiply
    703.58x = 969.90 × 454.88
  4. Step 4: Simplify right side
    703.58x = 441,188.11
  5. Step 5: Solve for x
    x = 441,188.11/703.58
  6. Step 6: Final answer
    x = 627.06

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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.