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Finding the Fourth Proportional to 583.88, 806.42 and 397.05

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Solution

The fourth proportional to 583.88, 806.42 and 397.05 is: 548.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.88 : 806.42 = 397.05 : x
  2. Step 2: Convert to fraction form
    583.88/806.42 = 397.05/x
  3. Step 3: Cross multiply
    583.88x = 806.42 × 397.05
  4. Step 4: Simplify right side
    583.88x = 320,187.08
  5. Step 5: Solve for x
    x = 320,187.08/583.88
  6. Step 6: Final answer
    x = 548.38

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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.