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Finding the Fourth Proportional to 926.62, 1,389.42 and 310

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Solution

The fourth proportional to 926.62, 1,389.42 and 310 is: 464.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.62 : 1,389.42 = 310 : x
  2. Step 2: Convert to fraction form
    926.62/1,389.42 = 310/x
  3. Step 3: Cross multiply
    926.62x = 1,389.42 × 310
  4. Step 4: Simplify right side
    926.62x = 430,720.20
  5. Step 5: Solve for x
    x = 430,720.20/926.62
  6. Step 6: Final answer
    x = 464.83

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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.