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Finding the Fourth Proportional to 962.95, 1,443.39 and 415.39

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Solution

The fourth proportional to 962.95, 1,443.39 and 415.39 is: 622.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.95 : 1,443.39 = 415.39 : x
  2. Step 2: Convert to fraction form
    962.95/1,443.39 = 415.39/x
  3. Step 3: Cross multiply
    962.95x = 1,443.39 × 415.39
  4. Step 4: Simplify right side
    962.95x = 599,569.77
  5. Step 5: Solve for x
    x = 599,569.77/962.95
  6. Step 6: Final answer
    x = 622.64

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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.