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Finding the Fourth Proportional to 440.70, 657.80 and 413.34

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Solution

The fourth proportional to 440.70, 657.80 and 413.34 is: 616.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.70 : 657.80 = 413.34 : x
  2. Step 2: Convert to fraction form
    440.70/657.80 = 413.34/x
  3. Step 3: Cross multiply
    440.70x = 657.80 × 413.34
  4. Step 4: Simplify right side
    440.70x = 271,892.99
  5. Step 5: Solve for x
    x = 271,892.99/440.70
  6. Step 6: Final answer
    x = 616.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.