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Finding the Fourth Proportional to 657.65, 985.45 and 413.67

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Solution

The fourth proportional to 657.65, 985.45 and 413.67 is: 619.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.65 : 985.45 = 413.67 : x
  2. Step 2: Convert to fraction form
    657.65/985.45 = 413.67/x
  3. Step 3: Cross multiply
    657.65x = 985.45 × 413.67
  4. Step 4: Simplify right side
    657.65x = 407,646.17
  5. Step 5: Solve for x
    x = 407,646.17/657.65
  6. Step 6: Final answer
    x = 619.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.