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Finding the Fourth Proportional to 926.56, 1,389.36 and 378.43

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Solution

The fourth proportional to 926.56, 1,389.36 and 378.43 is: 567.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.56 : 1,389.36 = 378.43 : x
  2. Step 2: Convert to fraction form
    926.56/1,389.36 = 378.43/x
  3. Step 3: Cross multiply
    926.56x = 1,389.36 × 378.43
  4. Step 4: Simplify right side
    926.56x = 525,775.50
  5. Step 5: Solve for x
    x = 525,775.50/926.56
  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.