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Finding the Fourth Proportional to 559.58, 838.31 and 386.35

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Solution

The fourth proportional to 559.58, 838.31 and 386.35 is: 578.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.58 : 838.31 = 386.35 : x
  2. Step 2: Convert to fraction form
    559.58/838.31 = 386.35/x
  3. Step 3: Cross multiply
    559.58x = 838.31 × 386.35
  4. Step 4: Simplify right side
    559.58x = 323,881.07
  5. Step 5: Solve for x
    x = 323,881.07/559.58
  6. Step 6: Final answer
    x = 578.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.