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Finding the Fourth Proportional to 771.12, 1,062.80 and 522.35

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Solution

The fourth proportional to 771.12, 1,062.80 and 522.35 is: 719.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.12 : 1,062.80 = 522.35 : x
  2. Step 2: Convert to fraction form
    771.12/1,062.80 = 522.35/x
  3. Step 3: Cross multiply
    771.12x = 1,062.80 × 522.35
  4. Step 4: Simplify right side
    771.12x = 555,145.65
  5. Step 5: Solve for x
    x = 555,145.65/771.12
  6. Step 6: Final answer
    x = 719.92

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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.