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Finding the Fourth Proportional to 584, 804.55 and 406.66

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Solution

The fourth proportional to 584, 804.55 and 406.66 is: 560.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    584 : 804.55 = 406.66 : x
  2. Step 2: Convert to fraction form
    584/804.55 = 406.66/x
  3. Step 3: Cross multiply
    584x = 804.55 × 406.66
  4. Step 4: Simplify right side
    584x = 327,174.28
  5. Step 5: Solve for x
    x = 327,174.28/584
  6. Step 6: Final answer
    x = 560.23

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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.