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Finding the Fourth Proportional to 703.98, 972.36 and 527.73

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Solution

The fourth proportional to 703.98, 972.36 and 527.73 is: 728.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.98 : 972.36 = 527.73 : x
  2. Step 2: Convert to fraction form
    703.98/972.36 = 527.73/x
  3. Step 3: Cross multiply
    703.98x = 972.36 × 527.73
  4. Step 4: Simplify right side
    703.98x = 513,143.54
  5. Step 5: Solve for x
    x = 513,143.54/703.98
  6. Step 6: Final answer
    x = 728.92

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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.