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Finding the Fourth Proportional to 775.34, 1,164.09 and 486.98

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Solution

The fourth proportional to 775.34, 1,164.09 and 486.98 is: 731.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.34 : 1,164.09 = 486.98 : x
  2. Step 2: Convert to fraction form
    775.34/1,164.09 = 486.98/x
  3. Step 3: Cross multiply
    775.34x = 1,164.09 × 486.98
  4. Step 4: Simplify right side
    775.34x = 566,888.55
  5. Step 5: Solve for x
    x = 566,888.55/775.34
  6. Step 6: Final answer
    x = 731.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.