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Finding the Fourth Proportional to 675.93, 1,012.26 and 386.49

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Solution

The fourth proportional to 675.93, 1,012.26 and 386.49 is: 578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.93 : 1,012.26 = 386.49 : x
  2. Step 2: Convert to fraction form
    675.93/1,012.26 = 386.49/x
  3. Step 3: Cross multiply
    675.93x = 1,012.26 × 386.49
  4. Step 4: Simplify right side
    675.93x = 391,228.37
  5. Step 5: Solve for x
    x = 391,228.37/675.93
  6. Step 6: Final answer
    x = 578.80

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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.