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Finding the Fourth Proportional to 583.42, 804.25 and 386.59

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Solution

The fourth proportional to 583.42, 804.25 and 386.59 is: 532.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.42 : 804.25 = 386.59 : x
  2. Step 2: Convert to fraction form
    583.42/804.25 = 386.59/x
  3. Step 3: Cross multiply
    583.42x = 804.25 × 386.59
  4. Step 4: Simplify right side
    583.42x = 310,915.01
  5. Step 5: Solve for x
    x = 310,915.01/583.42
  6. Step 6: Final answer
    x = 532.92

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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.