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Finding the Fourth Proportional to 926.70, 1,390.59 and 342.11

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Solution

The fourth proportional to 926.70, 1,390.59 and 342.11 is: 513.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.70 : 1,390.59 = 342.11 : x
  2. Step 2: Convert to fraction form
    926.70/1,390.59 = 342.11/x
  3. Step 3: Cross multiply
    926.70x = 1,390.59 × 342.11
  4. Step 4: Simplify right side
    926.70x = 475,738.22
  5. Step 5: Solve for x
    x = 475,738.22/926.70
  6. Step 6: Final answer
    x = 513.37

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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.