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Finding the Fourth Proportional to 926.50, 1,389.84 and 310.36

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Solution

The fourth proportional to 926.50, 1,389.84 and 310.36 is: 465.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.50 : 1,389.84 = 310.36 : x
  2. Step 2: Convert to fraction form
    926.50/1,389.84 = 310.36/x
  3. Step 3: Cross multiply
    926.50x = 1,389.84 × 310.36
  4. Step 4: Simplify right side
    926.50x = 431,350.74
  5. Step 5: Solve for x
    x = 431,350.74/926.50
  6. Step 6: Final answer
    x = 465.57

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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.