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Finding the Fourth Proportional to 929.45, 1,392.98 and 380.97

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Solution

The fourth proportional to 929.45, 1,392.98 and 380.97 is: 570.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.45 : 1,392.98 = 380.97 : x
  2. Step 2: Convert to fraction form
    929.45/1,392.98 = 380.97/x
  3. Step 3: Cross multiply
    929.45x = 1,392.98 × 380.97
  4. Step 4: Simplify right side
    929.45x = 530,681.69
  5. Step 5: Solve for x
    x = 530,681.69/929.45
  6. Step 6: Final answer
    x = 570.97

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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.