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Finding the Fourth Proportional to 413.93, 619.05 and 310.07

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Solution

The fourth proportional to 413.93, 619.05 and 310.07 is: 463.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.93 : 619.05 = 310.07 : x
  2. Step 2: Convert to fraction form
    413.93/619.05 = 310.07/x
  3. Step 3: Cross multiply
    413.93x = 619.05 × 310.07
  4. Step 4: Simplify right side
    413.93x = 191,948.83
  5. Step 5: Solve for x
    x = 191,948.83/413.93
  6. Step 6: Final answer
    x = 463.72

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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.