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Finding the Fourth Proportional to 706.30, 986.90 and 706.30

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Solution

The fourth proportional to 706.30, 986.90 and 706.30 is: 986.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.30 : 986.90 = 706.30 : x
  2. Step 2: Convert to fraction form
    706.30/986.90 = 706.30/x
  3. Step 3: Cross multiply
    706.30x = 986.90 × 706.30
  4. Step 4: Simplify right side
    706.30x = 697,047.47
  5. Step 5: Solve for x
    x = 697,047.47/706.30
  6. Step 6: Final answer
    x = 986.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.