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Finding the Fourth Proportional to 929.12, 1,392.50 and 380.66

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Solution

The fourth proportional to 929.12, 1,392.50 and 380.66 is: 570.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.12 : 1,392.50 = 380.66 : x
  2. Step 2: Convert to fraction form
    929.12/1,392.50 = 380.66/x
  3. Step 3: Cross multiply
    929.12x = 1,392.50 × 380.66
  4. Step 4: Simplify right side
    929.12x = 530,069.05
  5. Step 5: Solve for x
    x = 530,069.05/929.12
  6. Step 6: Final answer
    x = 570.51

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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.