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Finding the Fourth Proportional to 693.52, 956.72 and 413.57

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Solution

The fourth proportional to 693.52, 956.72 and 413.57 is: 570.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.52 : 956.72 = 413.57 : x
  2. Step 2: Convert to fraction form
    693.52/956.72 = 413.57/x
  3. Step 3: Cross multiply
    693.52x = 956.72 × 413.57
  4. Step 4: Simplify right side
    693.52x = 395,670.69
  5. Step 5: Solve for x
    x = 395,670.69/693.52
  6. Step 6: Final answer
    x = 570.53

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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.