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Finding the Fourth Proportional to 421.65, 630 and 413.94

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Solution

The fourth proportional to 421.65, 630 and 413.94 is: 618.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.65 : 630 = 413.94 : x
  2. Step 2: Convert to fraction form
    421.65/630 = 413.94/x
  3. Step 3: Cross multiply
    421.65x = 630 × 413.94
  4. Step 4: Simplify right side
    421.65x = 260,782.20
  5. Step 5: Solve for x
    x = 260,782.20/421.65
  6. Step 6: Final answer
    x = 618.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.