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Finding the Fourth Proportional to 786.04, 1,177.44 and 394.88

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Solution

The fourth proportional to 786.04, 1,177.44 and 394.88 is: 591.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.04 : 1,177.44 = 394.88 : x
  2. Step 2: Convert to fraction form
    786.04/1,177.44 = 394.88/x
  3. Step 3: Cross multiply
    786.04x = 1,177.44 × 394.88
  4. Step 4: Simplify right side
    786.04x = 464,947.51
  5. Step 5: Solve for x
    x = 464,947.51/786.04
  6. Step 6: Final answer
    x = 591.51

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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.