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Finding the Fourth Proportional to 1,270.55, 1,752.21 and 822.20

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Solution

The fourth proportional to 1,270.55, 1,752.21 and 822.20 is: 1,133.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.55 : 1,752.21 = 822.20 : x
  2. Step 2: Convert to fraction form
    1,270.55/1,752.21 = 822.20/x
  3. Step 3: Cross multiply
    1,270.55x = 1,752.21 × 822.20
  4. Step 4: Simplify right side
    1,270.55x = 1,440,667.06
  5. Step 5: Solve for x
    x = 1,440,667.06/1,270.55
  6. Step 6: Final answer
    x = 1,133.89

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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.