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Finding the Fourth Proportional to 711.80, 981.12 and 536.84

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Solution

The fourth proportional to 711.80, 981.12 and 536.84 is: 739.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.80 : 981.12 = 536.84 : x
  2. Step 2: Convert to fraction form
    711.80/981.12 = 536.84/x
  3. Step 3: Cross multiply
    711.80x = 981.12 × 536.84
  4. Step 4: Simplify right side
    711.80x = 526,704.46
  5. Step 5: Solve for x
    x = 526,704.46/711.80
  6. Step 6: Final answer
    x = 739.96

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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.