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Finding the Fourth Proportional to 886.02, 1,328.93 and 365.67

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Solution

The fourth proportional to 886.02, 1,328.93 and 365.67 is: 548.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.02 : 1,328.93 = 365.67 : x
  2. Step 2: Convert to fraction form
    886.02/1,328.93 = 365.67/x
  3. Step 3: Cross multiply
    886.02x = 1,328.93 × 365.67
  4. Step 4: Simplify right side
    886.02x = 485,949.83
  5. Step 5: Solve for x
    x = 485,949.83/886.02
  6. Step 6: Final answer
    x = 548.46

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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.