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Finding the Fourth Proportional to 894.65, 1,342.15 and 309.67

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Solution

The fourth proportional to 894.65, 1,342.15 and 309.67 is: 464.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.65 : 1,342.15 = 309.67 : x
  2. Step 2: Convert to fraction form
    894.65/1,342.15 = 309.67/x
  3. Step 3: Cross multiply
    894.65x = 1,342.15 × 309.67
  4. Step 4: Simplify right side
    894.65x = 415,623.59
  5. Step 5: Solve for x
    x = 415,623.59/894.65
  6. Step 6: Final answer
    x = 464.57

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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.