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Finding the Fourth Proportional to 703.60, 971.28 and 464.32

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Solution

The fourth proportional to 703.60, 971.28 and 464.32 is: 640.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.60 : 971.28 = 464.32 : x
  2. Step 2: Convert to fraction form
    703.60/971.28 = 464.32/x
  3. Step 3: Cross multiply
    703.60x = 971.28 × 464.32
  4. Step 4: Simplify right side
    703.60x = 450,984.73
  5. Step 5: Solve for x
    x = 450,984.73/703.60
  6. Step 6: Final answer
    x = 640.97

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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.