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Finding the Fourth Proportional to 470.19, 708.03 and 413.04

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Solution

The fourth proportional to 470.19, 708.03 and 413.04 is: 621.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.19 : 708.03 = 413.04 : x
  2. Step 2: Convert to fraction form
    470.19/708.03 = 413.04/x
  3. Step 3: Cross multiply
    470.19x = 708.03 × 413.04
  4. Step 4: Simplify right side
    470.19x = 292,444.71
  5. Step 5: Solve for x
    x = 292,444.71/470.19
  6. Step 6: Final answer
    x = 621.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.