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Finding the Fourth Proportional to 1,153.42, 1,729.80 and 536.50

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Solution

The fourth proportional to 1,153.42, 1,729.80 and 536.50 is: 804.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.42 : 1,729.80 = 536.50 : x
  2. Step 2: Convert to fraction form
    1,153.42/1,729.80 = 536.50/x
  3. Step 3: Cross multiply
    1,153.42x = 1,729.80 × 536.50
  4. Step 4: Simplify right side
    1,153.42x = 928,033.38
  5. Step 5: Solve for x
    x = 928,033.38/1,153.42
  6. Step 6: Final answer
    x = 804.59

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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.