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Finding the Fourth Proportional to 693.65, 956.91 and 413.72

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Solution

The fourth proportional to 693.65, 956.91 and 413.72 is: 570.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.65 : 956.91 = 413.72 : x
  2. Step 2: Convert to fraction form
    693.65/956.91 = 413.72/x
  3. Step 3: Cross multiply
    693.65x = 956.91 × 413.72
  4. Step 4: Simplify right side
    693.65x = 395,892.81
  5. Step 5: Solve for x
    x = 395,892.81/693.65
  6. Step 6: Final answer
    x = 570.74

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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.