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Finding the Fourth Proportional to 713.92, 985.06 and 419.02

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Solution

The fourth proportional to 713.92, 985.06 and 419.02 is: 578.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.92 : 985.06 = 419.02 : x
  2. Step 2: Convert to fraction form
    713.92/985.06 = 419.02/x
  3. Step 3: Cross multiply
    713.92x = 985.06 × 419.02
  4. Step 4: Simplify right side
    713.92x = 412,759.84
  5. Step 5: Solve for x
    x = 412,759.84/713.92
  6. Step 6: Final answer
    x = 578.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.