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Finding the Fourth Proportional to 1,083.90, 1,624.77 and 536.49

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Solution

The fourth proportional to 1,083.90, 1,624.77 and 536.49 is: 804.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.90 : 1,624.77 = 536.49 : x
  2. Step 2: Convert to fraction form
    1,083.90/1,624.77 = 536.49/x
  3. Step 3: Cross multiply
    1,083.90x = 1,624.77 × 536.49
  4. Step 4: Simplify right side
    1,083.90x = 871,672.86
  5. Step 5: Solve for x
    x = 871,672.86/1,083.90
  6. Step 6: Final answer
    x = 804.20

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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.