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Finding the Fourth Proportional to 583.25, 804.89 and 317.70

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Solution

The fourth proportional to 583.25, 804.89 and 317.70 is: 438.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.25 : 804.89 = 317.70 : x
  2. Step 2: Convert to fraction form
    583.25/804.89 = 317.70/x
  3. Step 3: Cross multiply
    583.25x = 804.89 × 317.70
  4. Step 4: Simplify right side
    583.25x = 255,709.53
  5. Step 5: Solve for x
    x = 255,709.53/583.25
  6. Step 6: Final answer
    x = 438.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.