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Finding the Fourth Proportional to 711.30, 998.70 and 711.30

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Solution

The fourth proportional to 711.30, 998.70 and 711.30 is: 998.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.30 : 998.70 = 711.30 : x
  2. Step 2: Convert to fraction form
    711.30/998.70 = 711.30/x
  3. Step 3: Cross multiply
    711.30x = 998.70 × 711.30
  4. Step 4: Simplify right side
    711.30x = 710,375.31
  5. Step 5: Solve for x
    x = 710,375.31/711.30
  6. Step 6: Final answer
    x = 998.70

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1.5x scale

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.