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Finding the Fourth Proportional to 610, 842.49 and 413.17

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Solution

The fourth proportional to 610, 842.49 and 413.17 is: 570.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    610 : 842.49 = 413.17 : x
  2. Step 2: Convert to fraction form
    610/842.49 = 413.17/x
  3. Step 3: Cross multiply
    610x = 842.49 × 413.17
  4. Step 4: Simplify right side
    610x = 348,091.59
  5. Step 5: Solve for x
    x = 348,091.59/610
  6. Step 6: Final answer
    x = 570.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.