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Finding the Fourth Proportional to 771.16, 1,063.57 and 522.08

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Solution

The fourth proportional to 771.16, 1,063.57 and 522.08 is: 720.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.16 : 1,063.57 = 522.08 : x
  2. Step 2: Convert to fraction form
    771.16/1,063.57 = 522.08/x
  3. Step 3: Cross multiply
    771.16x = 1,063.57 × 522.08
  4. Step 4: Simplify right side
    771.16x = 555,268.63
  5. Step 5: Solve for x
    x = 555,268.63/771.16
  6. Step 6: Final answer
    x = 720.04

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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.