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Finding the Fourth Proportional to 1,253.21, 1,728.31 and 810.65

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Solution

The fourth proportional to 1,253.21, 1,728.31 and 810.65 is: 1,117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.21 : 1,728.31 = 810.65 : x
  2. Step 2: Convert to fraction form
    1,253.21/1,728.31 = 810.65/x
  3. Step 3: Cross multiply
    1,253.21x = 1,728.31 × 810.65
  4. Step 4: Simplify right side
    1,253.21x = 1,401,050.45
  5. Step 5: Solve for x
    x = 1,401,050.45/1,253.21
  6. Step 6: Final answer
    x = 1,117.97

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1.5x scale

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.