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Finding the Fourth Proportional to 1,048.14, 1,561.68 and 992.25

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Solution

The fourth proportional to 1,048.14, 1,561.68 and 992.25 is: 1,478.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.14 : 1,561.68 = 992.25 : x
  2. Step 2: Convert to fraction form
    1,048.14/1,561.68 = 992.25/x
  3. Step 3: Cross multiply
    1,048.14x = 1,561.68 × 992.25
  4. Step 4: Simplify right side
    1,048.14x = 1,549,576.98
  5. Step 5: Solve for x
    x = 1,549,576.98/1,048.14
  6. Step 6: Final answer
    x = 1,478.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.