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Finding the Fourth Proportional to 894.84, 1,342.35 and 309.83

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Solution

The fourth proportional to 894.84, 1,342.35 and 309.83 is: 464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.84 : 1,342.35 = 309.83 : x
  2. Step 2: Convert to fraction form
    894.84/1,342.35 = 309.83/x
  3. Step 3: Cross multiply
    894.84x = 1,342.35 × 309.83
  4. Step 4: Simplify right side
    894.84x = 415,893.59
  5. Step 5: Solve for x
    x = 415,893.59/894.84
  6. Step 6: Final answer
    x = 464.77

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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.