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Finding the Fourth Proportional to 714.93, 986.16 and 494.01

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Solution

The fourth proportional to 714.93, 986.16 and 494.01 is: 681.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.93 : 986.16 = 494.01 : x
  2. Step 2: Convert to fraction form
    714.93/986.16 = 494.01/x
  3. Step 3: Cross multiply
    714.93x = 986.16 × 494.01
  4. Step 4: Simplify right side
    714.93x = 487,172.90
  5. Step 5: Solve for x
    x = 487,172.90/714.93
  6. Step 6: Final answer
    x = 681.43

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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.