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Finding the Fourth Proportional to 746.77, 1,119.37 and 259.45

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Solution

The fourth proportional to 746.77, 1,119.37 and 259.45 is: 388.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.77 : 1,119.37 = 259.45 : x
  2. Step 2: Convert to fraction form
    746.77/1,119.37 = 259.45/x
  3. Step 3: Cross multiply
    746.77x = 1,119.37 × 259.45
  4. Step 4: Simplify right side
    746.77x = 290,423.88
  5. Step 5: Solve for x
    x = 290,423.88/746.77
  6. Step 6: Final answer
    x = 388.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.