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Finding the Fourth Proportional to 926.76, 1,389.75 and 378.58

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Solution

The fourth proportional to 926.76, 1,389.75 and 378.58 is: 567.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.76 : 1,389.75 = 378.58 : x
  2. Step 2: Convert to fraction form
    926.76/1,389.75 = 378.58/x
  3. Step 3: Cross multiply
    926.76x = 1,389.75 × 378.58
  4. Step 4: Simplify right side
    926.76x = 526,131.56
  5. Step 5: Solve for x
    x = 526,131.56/926.76
  6. Step 6: Final answer
    x = 567.71

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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.