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Finding the Fourth Proportional to 606.55, 909.94 and 314.19

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Solution

The fourth proportional to 606.55, 909.94 and 314.19 is: 471.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.55 : 909.94 = 314.19 : x
  2. Step 2: Convert to fraction form
    606.55/909.94 = 314.19/x
  3. Step 3: Cross multiply
    606.55x = 909.94 × 314.19
  4. Step 4: Simplify right side
    606.55x = 285,894.05
  5. Step 5: Solve for x
    x = 285,894.05/606.55
  6. Step 6: Final answer
    x = 471.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.