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Finding the Fourth Proportional to 1,021.44, 1,407.95 and 689.29

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Solution

The fourth proportional to 1,021.44, 1,407.95 and 689.29 is: 950.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.44 : 1,407.95 = 689.29 : x
  2. Step 2: Convert to fraction form
    1,021.44/1,407.95 = 689.29/x
  3. Step 3: Cross multiply
    1,021.44x = 1,407.95 × 689.29
  4. Step 4: Simplify right side
    1,021.44x = 970,478.89
  5. Step 5: Solve for x
    x = 970,478.89/1,021.44
  6. Step 6: Final answer
    x = 950.11

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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.