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Finding the Fourth Proportional to 583.45, 804.75 and 396.83

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Solution

The fourth proportional to 583.45, 804.75 and 396.83 is: 547.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.45 : 804.75 = 396.83 : x
  2. Step 2: Convert to fraction form
    583.45/804.75 = 396.83/x
  3. Step 3: Cross multiply
    583.45x = 804.75 × 396.83
  4. Step 4: Simplify right side
    583.45x = 319,348.94
  5. Step 5: Solve for x
    x = 319,348.94/583.45
  6. Step 6: Final answer
    x = 547.35

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1.5x scale

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.