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Finding the Fourth Proportional to 926.06, 1,389.25 and 309.83

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Solution

The fourth proportional to 926.06, 1,389.25 and 309.83 is: 464.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.06 : 1,389.25 = 309.83 : x
  2. Step 2: Convert to fraction form
    926.06/1,389.25 = 309.83/x
  3. Step 3: Cross multiply
    926.06x = 1,389.25 × 309.83
  4. Step 4: Simplify right side
    926.06x = 430,424.77
  5. Step 5: Solve for x
    x = 430,424.77/926.06
  6. Step 6: Final answer
    x = 464.79

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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.