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Finding the Fourth Proportional to 714.73, 986.51 and 518.20

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Solution

The fourth proportional to 714.73, 986.51 and 518.20 is: 715.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.73 : 986.51 = 518.20 : x
  2. Step 2: Convert to fraction form
    714.73/986.51 = 518.20/x
  3. Step 3: Cross multiply
    714.73x = 986.51 × 518.20
  4. Step 4: Simplify right side
    714.73x = 511,209.48
  5. Step 5: Solve for x
    x = 511,209.48/714.73
  6. Step 6: Final answer
    x = 715.25

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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.