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Finding the Fourth Proportional to 1,127.55, 1,553.90 and 812.27

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Solution

The fourth proportional to 1,127.55, 1,553.90 and 812.27 is: 1,119.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.55 : 1,553.90 = 812.27 : x
  2. Step 2: Convert to fraction form
    1,127.55/1,553.90 = 812.27/x
  3. Step 3: Cross multiply
    1,127.55x = 1,553.90 × 812.27
  4. Step 4: Simplify right side
    1,127.55x = 1,262,186.35
  5. Step 5: Solve for x
    x = 1,262,186.35/1,127.55
  6. Step 6: Final answer
    x = 1,119.41

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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.