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Finding the Fourth Proportional to 693.45, 956.95 and 378.72

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Solution

The fourth proportional to 693.45, 956.95 and 378.72 is: 522.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.45 : 956.95 = 378.72 : x
  2. Step 2: Convert to fraction form
    693.45/956.95 = 378.72/x
  3. Step 3: Cross multiply
    693.45x = 956.95 × 378.72
  4. Step 4: Simplify right side
    693.45x = 362,413.71
  5. Step 5: Solve for x
    x = 362,413.71/693.45
  6. Step 6: Final answer
    x = 522.62

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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.