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Finding the Fourth Proportional to 584.16, 804.87 and 479.58

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Solution

The fourth proportional to 584.16, 804.87 and 479.58 is: 660.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.16 : 804.87 = 479.58 : x
  2. Step 2: Convert to fraction form
    584.16/804.87 = 479.58/x
  3. Step 3: Cross multiply
    584.16x = 804.87 × 479.58
  4. Step 4: Simplify right side
    584.16x = 385,999.55
  5. Step 5: Solve for x
    x = 385,999.55/584.16
  6. Step 6: Final answer
    x = 660.78

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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.