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Finding the Fourth Proportional to 771.30, 1,150.98 and 689.25

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Solution

The fourth proportional to 771.30, 1,150.98 and 689.25 is: 1,028.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.30 : 1,150.98 = 689.25 : x
  2. Step 2: Convert to fraction form
    771.30/1,150.98 = 689.25/x
  3. Step 3: Cross multiply
    771.30x = 1,150.98 × 689.25
  4. Step 4: Simplify right side
    771.30x = 793,312.97
  5. Step 5: Solve for x
    x = 793,312.97/771.30
  6. Step 6: Final answer
    x = 1,028.54

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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.