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Finding the Fourth Proportional to 583.02, 804.89 and 425.48

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Solution

The fourth proportional to 583.02, 804.89 and 425.48 is: 587.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.02 : 804.89 = 425.48 : x
  2. Step 2: Convert to fraction form
    583.02/804.89 = 425.48/x
  3. Step 3: Cross multiply
    583.02x = 804.89 × 425.48
  4. Step 4: Simplify right side
    583.02x = 342,464.48
  5. Step 5: Solve for x
    x = 342,464.48/583.02
  6. Step 6: Final answer
    x = 587.40

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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.