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Finding the Fourth Proportional to 926.30, 1,389.22 and 378.34

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Solution

The fourth proportional to 926.30, 1,389.22 and 378.34 is: 567.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.30 : 1,389.22 = 378.34 : x
  2. Step 2: Convert to fraction form
    926.30/1,389.22 = 378.34/x
  3. Step 3: Cross multiply
    926.30x = 1,389.22 × 378.34
  4. Step 4: Simplify right side
    926.30x = 525,593.08
  5. Step 5: Solve for x
    x = 525,593.08/926.30
  6. Step 6: Final answer
    x = 567.41

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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.