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Finding the Fourth Proportional to 929.14, 1,393.42 and 312.67

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Solution

The fourth proportional to 929.14, 1,393.42 and 312.67 is: 468.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.14 : 1,393.42 = 312.67 : x
  2. Step 2: Convert to fraction form
    929.14/1,393.42 = 312.67/x
  3. Step 3: Cross multiply
    929.14x = 1,393.42 × 312.67
  4. Step 4: Simplify right side
    929.14x = 435,680.63
  5. Step 5: Solve for x
    x = 435,680.63/929.14
  6. Step 6: Final answer
    x = 468.91

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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.