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Finding the Fourth Proportional to 413.75, 570.39 and 295.70

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Solution

The fourth proportional to 413.75, 570.39 and 295.70 is: 407.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.75 : 570.39 = 295.70 : x
  2. Step 2: Convert to fraction form
    413.75/570.39 = 295.70/x
  3. Step 3: Cross multiply
    413.75x = 570.39 × 295.70
  4. Step 4: Simplify right side
    413.75x = 168,661.47
  5. Step 5: Solve for x
    x = 168,661.47/413.75
  6. Step 6: Final answer
    x = 407.64

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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.