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Finding the Fourth Proportional to 714.99, 986.76 and 416.33

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Solution

The fourth proportional to 714.99, 986.76 and 416.33 is: 574.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.99 : 986.76 = 416.33 : x
  2. Step 2: Convert to fraction form
    714.99/986.76 = 416.33/x
  3. Step 3: Cross multiply
    714.99x = 986.76 × 416.33
  4. Step 4: Simplify right side
    714.99x = 410,817.79
  5. Step 5: Solve for x
    x = 410,817.79/714.99
  6. Step 6: Final answer
    x = 574.58

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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.