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Finding the Fourth Proportional to 703.27, 971.19 and 637.66

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Solution

The fourth proportional to 703.27, 971.19 and 637.66 is: 880.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.27 : 971.19 = 637.66 : x
  2. Step 2: Convert to fraction form
    703.27/971.19 = 637.66/x
  3. Step 3: Cross multiply
    703.27x = 971.19 × 637.66
  4. Step 4: Simplify right side
    703.27x = 619,289.02
  5. Step 5: Solve for x
    x = 619,289.02/703.27
  6. Step 6: Final answer
    x = 880.59

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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.