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Finding the Fourth Proportional to 926.90, 1,390.52 and 310.67

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Solution

The fourth proportional to 926.90, 1,390.52 and 310.67 is: 466.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.90 : 1,390.52 = 310.67 : x
  2. Step 2: Convert to fraction form
    926.90/1,390.52 = 310.67/x
  3. Step 3: Cross multiply
    926.90x = 1,390.52 × 310.67
  4. Step 4: Simplify right side
    926.90x = 431,990.14
  5. Step 5: Solve for x
    x = 431,990.14/926.90
  6. Step 6: Final answer
    x = 466.06

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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.