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Finding the Fourth Proportional to 713.88, 984.90 and 419.08

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Solution

The fourth proportional to 713.88, 984.90 and 419.08 is: 578.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.88 : 984.90 = 419.08 : x
  2. Step 2: Convert to fraction form
    713.88/984.90 = 419.08/x
  3. Step 3: Cross multiply
    713.88x = 984.90 × 419.08
  4. Step 4: Simplify right side
    713.88x = 412,751.89
  5. Step 5: Solve for x
    x = 412,751.89/713.88
  6. Step 6: Final answer
    x = 578.18

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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.