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Finding the Fourth Proportional to 930.09, 1,395.12 and 313.79

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Solution

The fourth proportional to 930.09, 1,395.12 and 313.79 is: 470.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.09 : 1,395.12 = 313.79 : x
  2. Step 2: Convert to fraction form
    930.09/1,395.12 = 313.79/x
  3. Step 3: Cross multiply
    930.09x = 1,395.12 × 313.79
  4. Step 4: Simplify right side
    930.09x = 437,776.75
  5. Step 5: Solve for x
    x = 437,776.75/930.09
  6. Step 6: Final answer
    x = 470.68

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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.