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Finding the Fourth Proportional to 693.45, 956.88 and 413.70

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Solution

The fourth proportional to 693.45, 956.88 and 413.70 is: 570.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.45 : 956.88 = 413.70 : x
  2. Step 2: Convert to fraction form
    693.45/956.88 = 413.70/x
  3. Step 3: Cross multiply
    693.45x = 956.88 × 413.70
  4. Step 4: Simplify right side
    693.45x = 395,861.26
  5. Step 5: Solve for x
    x = 395,861.26/693.45
  6. Step 6: Final answer
    x = 570.86

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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.