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Finding the Fourth Proportional to 1,119.42, 1,678.55 and 378.77

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Solution

The fourth proportional to 1,119.42, 1,678.55 and 378.77 is: 567.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.42 : 1,678.55 = 378.77 : x
  2. Step 2: Convert to fraction form
    1,119.42/1,678.55 = 378.77/x
  3. Step 3: Cross multiply
    1,119.42x = 1,678.55 × 378.77
  4. Step 4: Simplify right side
    1,119.42x = 635,774.10
  5. Step 5: Solve for x
    x = 635,774.10/1,119.42
  6. Step 6: Final answer
    x = 567.95

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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.