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Finding the Fourth Proportional to 583.42, 804.38 and 384.22

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Solution

The fourth proportional to 583.42, 804.38 and 384.22 is: 529.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.42 : 804.38 = 384.22 : x
  2. Step 2: Convert to fraction form
    583.42/804.38 = 384.22/x
  3. Step 3: Cross multiply
    583.42x = 804.38 × 384.22
  4. Step 4: Simplify right side
    583.42x = 309,058.88
  5. Step 5: Solve for x
    x = 309,058.88/583.42
  6. Step 6: Final answer
    x = 529.74

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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.