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Finding the Fourth Proportional to 713.84, 985.34 and 419.00

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Solution

The fourth proportional to 713.84, 985.34 and 419.00 is: 578.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.84 : 985.34 = 419.00 : x
  2. Step 2: Convert to fraction form
    713.84/985.34 = 419.00/x
  3. Step 3: Cross multiply
    713.84x = 985.34 × 419.00
  4. Step 4: Simplify right side
    713.84x = 412,853.58
  5. Step 5: Solve for x
    x = 412,853.58/713.84
  6. Step 6: Final answer
    x = 578.36

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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.