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Finding the Fourth Proportional to 962.74, 1,444.38 and 386.02

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Solution

The fourth proportional to 962.74, 1,444.38 and 386.02 is: 579.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.74 : 1,444.38 = 386.02 : x
  2. Step 2: Convert to fraction form
    962.74/1,444.38 = 386.02/x
  3. Step 3: Cross multiply
    962.74x = 1,444.38 × 386.02
  4. Step 4: Simplify right side
    962.74x = 557,559.57
  5. Step 5: Solve for x
    x = 557,559.57/962.74
  6. Step 6: Final answer
    x = 579.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.