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Finding the Fourth Proportional to 784.37, 1,176.32 and 271.25

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Solution

The fourth proportional to 784.37, 1,176.32 and 271.25 is: 406.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.37 : 1,176.32 = 271.25 : x
  2. Step 2: Convert to fraction form
    784.37/1,176.32 = 271.25/x
  3. Step 3: Cross multiply
    784.37x = 1,176.32 × 271.25
  4. Step 4: Simplify right side
    784.37x = 319,075.44
  5. Step 5: Solve for x
    x = 319,075.44/784.37
  6. Step 6: Final answer
    x = 406.79

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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.