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Finding the Fourth Proportional to 894.92, 1,342.40 and 317.39

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Solution

The fourth proportional to 894.92, 1,342.40 and 317.39 is: 476.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.92 : 1,342.40 = 317.39 : x
  2. Step 2: Convert to fraction form
    894.92/1,342.40 = 317.39/x
  3. Step 3: Cross multiply
    894.92x = 1,342.40 × 317.39
  4. Step 4: Simplify right side
    894.92x = 426,056.04
  5. Step 5: Solve for x
    x = 426,056.04/894.92
  6. Step 6: Final answer
    x = 476.09

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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.