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Finding the Fourth Proportional to 413.46, 570.63 and 400.71

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Solution

The fourth proportional to 413.46, 570.63 and 400.71 is: 553.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.46 : 570.63 = 400.71 : x
  2. Step 2: Convert to fraction form
    413.46/570.63 = 400.71/x
  3. Step 3: Cross multiply
    413.46x = 570.63 × 400.71
  4. Step 4: Simplify right side
    413.46x = 228,657.15
  5. Step 5: Solve for x
    x = 228,657.15/413.46
  6. Step 6: Final answer
    x = 553.03

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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.