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Finding the Fourth Proportional to 1,253.10, 1,728.97 and 810.47

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Solution

The fourth proportional to 1,253.10, 1,728.97 and 810.47 is: 1,118.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.10 : 1,728.97 = 810.47 : x
  2. Step 2: Convert to fraction form
    1,253.10/1,728.97 = 810.47/x
  3. Step 3: Cross multiply
    1,253.10x = 1,728.97 × 810.47
  4. Step 4: Simplify right side
    1,253.10x = 1,401,274.13
  5. Step 5: Solve for x
    x = 1,401,274.13/1,253.10
  6. Step 6: Final answer
    x = 1,118.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.