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Finding the Fourth Proportional to 929.97, 1,395.05 and 313.87

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Solution

The fourth proportional to 929.97, 1,395.05 and 313.87 is: 470.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.97 : 1,395.05 = 313.87 : x
  2. Step 2: Convert to fraction form
    929.97/1,395.05 = 313.87/x
  3. Step 3: Cross multiply
    929.97x = 1,395.05 × 313.87
  4. Step 4: Simplify right side
    929.97x = 437,855.80
  5. Step 5: Solve for x
    x = 437,855.80/929.97
  6. Step 6: Final answer
    x = 470.83

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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.