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Finding the Fourth Proportional to 711.06, 981.63 and 594.42

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Solution

The fourth proportional to 711.06, 981.63 and 594.42 is: 820.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.06 : 981.63 = 594.42 : x
  2. Step 2: Convert to fraction form
    711.06/981.63 = 594.42/x
  3. Step 3: Cross multiply
    711.06x = 981.63 × 594.42
  4. Step 4: Simplify right side
    711.06x = 583,500.50
  5. Step 5: Solve for x
    x = 583,500.50/711.06
  6. Step 6: Final answer
    x = 820.61

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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.