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Finding the Fourth Proportional to 758.54, 1,128.06 and 734.24

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Solution

The fourth proportional to 758.54, 1,128.06 and 734.24 is: 1,091.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.54 : 1,128.06 = 734.24 : x
  2. Step 2: Convert to fraction form
    758.54/1,128.06 = 734.24/x
  3. Step 3: Cross multiply
    758.54x = 1,128.06 × 734.24
  4. Step 4: Simplify right side
    758.54x = 828,266.77
  5. Step 5: Solve for x
    x = 828,266.77/758.54
  6. Step 6: Final answer
    x = 1,091.92

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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.