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Finding the Fourth Proportional to 413.46, 570.65 and 315.05

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Solution

The fourth proportional to 413.46, 570.65 and 315.05 is: 434.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.46 : 570.65 = 315.05 : x
  2. Step 2: Convert to fraction form
    413.46/570.65 = 315.05/x
  3. Step 3: Cross multiply
    413.46x = 570.65 × 315.05
  4. Step 4: Simplify right side
    413.46x = 179,778.85
  5. Step 5: Solve for x
    x = 179,778.85/413.46
  6. Step 6: Final answer
    x = 434.82

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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.