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Finding the Fourth Proportional to 894.15, 1,340.44 and 345.95

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Solution

The fourth proportional to 894.15, 1,340.44 and 345.95 is: 518.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.15 : 1,340.44 = 345.95 : x
  2. Step 2: Convert to fraction form
    894.15/1,340.44 = 345.95/x
  3. Step 3: Cross multiply
    894.15x = 1,340.44 × 345.95
  4. Step 4: Simplify right side
    894.15x = 463,726.08
  5. Step 5: Solve for x
    x = 463,726.08/894.15
  6. Step 6: Final answer
    x = 518.63

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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.