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Finding the Fourth Proportional to 711.10, 997.70 and 711.10

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Solution

The fourth proportional to 711.10, 997.70 and 711.10 is: 997.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.10 : 997.70 = 711.10 : x
  2. Step 2: Convert to fraction form
    711.10/997.70 = 711.10/x
  3. Step 3: Cross multiply
    711.10x = 997.70 × 711.10
  4. Step 4: Simplify right side
    711.10x = 709,464.47
  5. Step 5: Solve for x
    x = 709,464.47/711.10
  6. Step 6: Final answer
    x = 997.70

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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.