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Finding the Fourth Proportional to 771.32, 1,063.68 and 522.92

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Solution

The fourth proportional to 771.32, 1,063.68 and 522.92 is: 721.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.32 : 1,063.68 = 522.92 : x
  2. Step 2: Convert to fraction form
    771.32/1,063.68 = 522.92/x
  3. Step 3: Cross multiply
    771.32x = 1,063.68 × 522.92
  4. Step 4: Simplify right side
    771.32x = 556,219.55
  5. Step 5: Solve for x
    x = 556,219.55/771.32
  6. Step 6: Final answer
    x = 721.13

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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.