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Finding the Fourth Proportional to 1,002.29, 1,383.09 and 560.18

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Solution

The fourth proportional to 1,002.29, 1,383.09 and 560.18 is: 773.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.29 : 1,383.09 = 560.18 : x
  2. Step 2: Convert to fraction form
    1,002.29/1,383.09 = 560.18/x
  3. Step 3: Cross multiply
    1,002.29x = 1,383.09 × 560.18
  4. Step 4: Simplify right side
    1,002.29x = 774,779.36
  5. Step 5: Solve for x
    x = 774,779.36/1,002.29
  6. Step 6: Final answer
    x = 773.01

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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.