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Finding the Fourth Proportional to 665.85, 918.63 and 413.76

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Solution

The fourth proportional to 665.85, 918.63 and 413.76 is: 570.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.85 : 918.63 = 413.76 : x
  2. Step 2: Convert to fraction form
    665.85/918.63 = 413.76/x
  3. Step 3: Cross multiply
    665.85x = 918.63 × 413.76
  4. Step 4: Simplify right side
    665.85x = 380,092.35
  5. Step 5: Solve for x
    x = 380,092.35/665.85
  6. Step 6: Final answer
    x = 570.84

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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.