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Finding the Fourth Proportional to 1,088.29, 1,620.81 and 1,032.40

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Solution

The fourth proportional to 1,088.29, 1,620.81 and 1,032.40 is: 1,537.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.29 : 1,620.81 = 1,032.40 : x
  2. Step 2: Convert to fraction form
    1,088.29/1,620.81 = 1,032.40/x
  3. Step 3: Cross multiply
    1,088.29x = 1,620.81 × 1,032.40
  4. Step 4: Simplify right side
    1,088.29x = 1,673,324.24
  5. Step 5: Solve for x
    x = 1,673,324.24/1,088.29
  6. Step 6: Final answer
    x = 1,537.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.