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Finding the Fourth Proportional to 1,152.38, 1,728.57 and 690.30

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Solution

The fourth proportional to 1,152.38, 1,728.57 and 690.30 is: 1,035.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.38 : 1,728.57 = 690.30 : x
  2. Step 2: Convert to fraction form
    1,152.38/1,728.57 = 690.30/x
  3. Step 3: Cross multiply
    1,152.38x = 1,728.57 × 690.30
  4. Step 4: Simplify right side
    1,152.38x = 1,193,231.87
  5. Step 5: Solve for x
    x = 1,193,231.87/1,152.38
  6. Step 6: Final answer
    x = 1,035.45

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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.