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Finding the Fourth Proportional to 584.60, 807.26 and 388.22

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Solution

The fourth proportional to 584.60, 807.26 and 388.22 is: 536.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.60 : 807.26 = 388.22 : x
  2. Step 2: Convert to fraction form
    584.60/807.26 = 388.22/x
  3. Step 3: Cross multiply
    584.60x = 807.26 × 388.22
  4. Step 4: Simplify right side
    584.60x = 313,388.50
  5. Step 5: Solve for x
    x = 313,388.50/584.60
  6. Step 6: Final answer
    x = 536.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.