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Finding the Fourth Proportional to 693.58, 956.79 and 472.54

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Solution

The fourth proportional to 693.58, 956.79 and 472.54 is: 651.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.58 : 956.79 = 472.54 : x
  2. Step 2: Convert to fraction form
    693.58/956.79 = 472.54/x
  3. Step 3: Cross multiply
    693.58x = 956.79 × 472.54
  4. Step 4: Simplify right side
    693.58x = 452,121.55
  5. Step 5: Solve for x
    x = 452,121.55/693.58
  6. Step 6: Final answer
    x = 651.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.