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Finding the Fourth Proportional to 1,152.50, 1,728.75 and 812.66

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Solution

The fourth proportional to 1,152.50, 1,728.75 and 812.66 is: 1,218.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.50 : 1,728.75 = 812.66 : x
  2. Step 2: Convert to fraction form
    1,152.50/1,728.75 = 812.66/x
  3. Step 3: Cross multiply
    1,152.50x = 1,728.75 × 812.66
  4. Step 4: Simplify right side
    1,152.50x = 1,404,885.98
  5. Step 5: Solve for x
    x = 1,404,885.98/1,152.50
  6. Step 6: Final answer
    x = 1,218.99

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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.