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Finding the Fourth Proportional to 894.39, 1,342.17 and 317.25

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Solution

The fourth proportional to 894.39, 1,342.17 and 317.25 is: 476.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.39 : 1,342.17 = 317.25 : x
  2. Step 2: Convert to fraction form
    894.39/1,342.17 = 317.25/x
  3. Step 3: Cross multiply
    894.39x = 1,342.17 × 317.25
  4. Step 4: Simplify right side
    894.39x = 425,803.43
  5. Step 5: Solve for x
    x = 425,803.43/894.39
  6. Step 6: Final answer
    x = 476.08

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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.