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Finding the Fourth Proportional to 583.25, 867.63 and 577.38

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Solution

The fourth proportional to 583.25, 867.63 and 577.38 is: 858.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.25 : 867.63 = 577.38 : x
  2. Step 2: Convert to fraction form
    583.25/867.63 = 577.38/x
  3. Step 3: Cross multiply
    583.25x = 867.63 × 577.38
  4. Step 4: Simplify right side
    583.25x = 500,952.21
  5. Step 5: Solve for x
    x = 500,952.21/583.25
  6. Step 6: Final answer
    x = 858.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.