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Finding the Fourth Proportional to 929.44, 1,384.05 and 919.22

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Solution

The fourth proportional to 929.44, 1,384.05 and 919.22 is: 1,368.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.44 : 1,384.05 = 919.22 : x
  2. Step 2: Convert to fraction form
    929.44/1,384.05 = 919.22/x
  3. Step 3: Cross multiply
    929.44x = 1,384.05 × 919.22
  4. Step 4: Simplify right side
    929.44x = 1,272,242.97
  5. Step 5: Solve for x
    x = 1,272,242.97/929.44
  6. Step 6: Final answer
    x = 1,368.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.