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Finding the Fourth Proportional to 894.15, 1,341.90 and 339.35

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Solution

The fourth proportional to 894.15, 1,341.90 and 339.35 is: 509.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.15 : 1,341.90 = 339.35 : x
  2. Step 2: Convert to fraction form
    894.15/1,341.90 = 339.35/x
  3. Step 3: Cross multiply
    894.15x = 1,341.90 × 339.35
  4. Step 4: Simplify right side
    894.15x = 455,367.06
  5. Step 5: Solve for x
    x = 455,367.06/894.15
  6. Step 6: Final answer
    x = 509.27

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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.