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Finding the Fourth Proportional to 1,119.98, 1,678.74 and 389.16

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Solution

The fourth proportional to 1,119.98, 1,678.74 and 389.16 is: 583.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.98 : 1,678.74 = 389.16 : x
  2. Step 2: Convert to fraction form
    1,119.98/1,678.74 = 389.16/x
  3. Step 3: Cross multiply
    1,119.98x = 1,678.74 × 389.16
  4. Step 4: Simplify right side
    1,119.98x = 653,298.46
  5. Step 5: Solve for x
    x = 653,298.46/1,119.98
  6. Step 6: Final answer
    x = 583.32

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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.