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Finding the Fourth Proportional to 775.07, 1,069.50 and 480.02

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Solution

The fourth proportional to 775.07, 1,069.50 and 480.02 is: 662.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.07 : 1,069.50 = 480.02 : x
  2. Step 2: Convert to fraction form
    775.07/1,069.50 = 480.02/x
  3. Step 3: Cross multiply
    775.07x = 1,069.50 × 480.02
  4. Step 4: Simplify right side
    775.07x = 513,381.39
  5. Step 5: Solve for x
    x = 513,381.39/775.07
  6. Step 6: Final answer
    x = 662.37

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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.