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Finding the Fourth Proportional to 1,415.93, 2,123.06 and 428.45

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Solution

The fourth proportional to 1,415.93, 2,123.06 and 428.45 is: 642.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.93 : 2,123.06 = 428.45 : x
  2. Step 2: Convert to fraction form
    1,415.93/2,123.06 = 428.45/x
  3. Step 3: Cross multiply
    1,415.93x = 2,123.06 × 428.45
  4. Step 4: Simplify right side
    1,415.93x = 909,612.30
  5. Step 5: Solve for x
    x = 909,612.30/1,415.93
  6. Step 6: Final answer
    x = 642.42

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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.