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Finding the Fourth Proportional to 1,119.36, 1,544.72 and 783.76

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Solution

The fourth proportional to 1,119.36, 1,544.72 and 783.76 is: 1,081.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.36 : 1,544.72 = 783.76 : x
  2. Step 2: Convert to fraction form
    1,119.36/1,544.72 = 783.76/x
  3. Step 3: Cross multiply
    1,119.36x = 1,544.72 × 783.76
  4. Step 4: Simplify right side
    1,119.36x = 1,210,689.75
  5. Step 5: Solve for x
    x = 1,210,689.75/1,119.36
  6. Step 6: Final answer
    x = 1,081.59

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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.