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Finding the Fourth Proportional to 714.35, 986.17 and 676.20

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Solution

The fourth proportional to 714.35, 986.17 and 676.20 is: 933.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.35 : 986.17 = 676.20 : x
  2. Step 2: Convert to fraction form
    714.35/986.17 = 676.20/x
  3. Step 3: Cross multiply
    714.35x = 986.17 × 676.20
  4. Step 4: Simplify right side
    714.35x = 666,843.96
  5. Step 5: Solve for x
    x = 666,843.96/714.35
  6. Step 6: Final answer
    x = 933.49

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1.5x scale

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.