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Finding the Fourth Proportional to 1,178.77, 1,768.23 and 398.85

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Solution

The fourth proportional to 1,178.77, 1,768.23 and 398.85 is: 598.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.77 : 1,768.23 = 398.85 : x
  2. Step 2: Convert to fraction form
    1,178.77/1,768.23 = 398.85/x
  3. Step 3: Cross multiply
    1,178.77x = 1,768.23 × 398.85
  4. Step 4: Simplify right side
    1,178.77x = 705,258.54
  5. Step 5: Solve for x
    x = 705,258.54/1,178.77
  6. Step 6: Final answer
    x = 598.30

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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.