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Finding the Fourth Proportional to 926.90, 1,389.83 and 378.44

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Solution

The fourth proportional to 926.90, 1,389.83 and 378.44 is: 567.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.90 : 1,389.83 = 378.44 : x
  2. Step 2: Convert to fraction form
    926.90/1,389.83 = 378.44/x
  3. Step 3: Cross multiply
    926.90x = 1,389.83 × 378.44
  4. Step 4: Simplify right side
    926.90x = 525,965.37
  5. Step 5: Solve for x
    x = 525,965.37/926.90
  6. Step 6: Final answer
    x = 567.45

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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.