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Finding the Fourth Proportional to 583.25, 804.20 and 477.95

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Solution

The fourth proportional to 583.25, 804.20 and 477.95 is: 659.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.25 : 804.20 = 477.95 : x
  2. Step 2: Convert to fraction form
    583.25/804.20 = 477.95/x
  3. Step 3: Cross multiply
    583.25x = 804.20 × 477.95
  4. Step 4: Simplify right side
    583.25x = 384,360.98
  5. Step 5: Solve for x
    x = 384,360.98/583.25
  6. Step 6: Final answer
    x = 659.00

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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.