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Finding the Fourth Proportional to 963.16, 1,444.80 and 386.03

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Solution

The fourth proportional to 963.16, 1,444.80 and 386.03 is: 579.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.16 : 1,444.80 = 386.03 : x
  2. Step 2: Convert to fraction form
    963.16/1,444.80 = 386.03/x
  3. Step 3: Cross multiply
    963.16x = 1,444.80 × 386.03
  4. Step 4: Simplify right side
    963.16x = 557,736.14
  5. Step 5: Solve for x
    x = 557,736.14/963.16
  6. Step 6: Final answer
    x = 579.07

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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.