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Finding the Fourth Proportional to 786.05, 1,084.74 and 427.14

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Solution

The fourth proportional to 786.05, 1,084.74 and 427.14 is: 589.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.05 : 1,084.74 = 427.14 : x
  2. Step 2: Convert to fraction form
    786.05/1,084.74 = 427.14/x
  3. Step 3: Cross multiply
    786.05x = 1,084.74 × 427.14
  4. Step 4: Simplify right side
    786.05x = 463,334.54
  5. Step 5: Solve for x
    x = 463,334.54/786.05
  6. Step 6: Final answer
    x = 589.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.