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Finding the Fourth Proportional to 474.84, 708.90 and 413.40

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Solution

The fourth proportional to 474.84, 708.90 and 413.40 is: 617.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.84 : 708.90 = 413.40 : x
  2. Step 2: Convert to fraction form
    474.84/708.90 = 413.40/x
  3. Step 3: Cross multiply
    474.84x = 708.90 × 413.40
  4. Step 4: Simplify right side
    474.84x = 293,059.26
  5. Step 5: Solve for x
    x = 293,059.26/474.84
  6. Step 6: Final answer
    x = 617.17

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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.