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Finding the Fourth Proportional to 703.66, 970.71 and 455.20

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Solution

The fourth proportional to 703.66, 970.71 and 455.20 is: 627.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.66 : 970.71 = 455.20 : x
  2. Step 2: Convert to fraction form
    703.66/970.71 = 455.20/x
  3. Step 3: Cross multiply
    703.66x = 970.71 × 455.20
  4. Step 4: Simplify right side
    703.66x = 441,867.19
  5. Step 5: Solve for x
    x = 441,867.19/703.66
  6. Step 6: Final answer
    x = 627.96

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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.