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Finding the Fourth Proportional to 1,415.89, 2,123.97 and 442.27

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Solution

The fourth proportional to 1,415.89, 2,123.97 and 442.27 is: 663.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.89 : 2,123.97 = 442.27 : x
  2. Step 2: Convert to fraction form
    1,415.89/2,123.97 = 442.27/x
  3. Step 3: Cross multiply
    1,415.89x = 2,123.97 × 442.27
  4. Step 4: Simplify right side
    1,415.89x = 939,368.21
  5. Step 5: Solve for x
    x = 939,368.21/1,415.89
  6. Step 6: Final answer
    x = 663.45

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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.