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Finding the Fourth Proportional to 711.69, 981.72 and 522.35

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Solution

The fourth proportional to 711.69, 981.72 and 522.35 is: 720.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.69 : 981.72 = 522.35 : x
  2. Step 2: Convert to fraction form
    711.69/981.72 = 522.35/x
  3. Step 3: Cross multiply
    711.69x = 981.72 × 522.35
  4. Step 4: Simplify right side
    711.69x = 512,800.21
  5. Step 5: Solve for x
    x = 512,800.21/711.69
  6. Step 6: Final answer
    x = 720.54

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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.