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Finding the Fourth Proportional to 1,002.22, 1,383.09 and 560.23

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Solution

The fourth proportional to 1,002.22, 1,383.09 and 560.23 is: 773.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.22 : 1,383.09 = 560.23 : x
  2. Step 2: Convert to fraction form
    1,002.22/1,383.09 = 560.23/x
  3. Step 3: Cross multiply
    1,002.22x = 1,383.09 × 560.23
  4. Step 4: Simplify right side
    1,002.22x = 774,848.51
  5. Step 5: Solve for x
    x = 774,848.51/1,002.22
  6. Step 6: Final answer
    x = 773.13

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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.