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Finding the Fourth Proportional to 757.95, 1,038.37 and 730.27

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Solution

The fourth proportional to 757.95, 1,038.37 and 730.27 is: 1,000.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.95 : 1,038.37 = 730.27 : x
  2. Step 2: Convert to fraction form
    757.95/1,038.37 = 730.27/x
  3. Step 3: Cross multiply
    757.95x = 1,038.37 × 730.27
  4. Step 4: Simplify right side
    757.95x = 758,290.46
  5. Step 5: Solve for x
    x = 758,290.46/757.95
  6. Step 6: Final answer
    x = 1,000.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.