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Finding the Fourth Proportional to 1,415.82, 2,123.70 and 550.14

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Solution

The fourth proportional to 1,415.82, 2,123.70 and 550.14 is: 825.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.82 : 2,123.70 = 550.14 : x
  2. Step 2: Convert to fraction form
    1,415.82/2,123.70 = 550.14/x
  3. Step 3: Cross multiply
    1,415.82x = 2,123.70 × 550.14
  4. Step 4: Simplify right side
    1,415.82x = 1,168,332.32
  5. Step 5: Solve for x
    x = 1,168,332.32/1,415.82
  6. Step 6: Final answer
    x = 825.20

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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.