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Finding the Fourth Proportional to 775.22, 1,160.15 and 482.58

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Solution

The fourth proportional to 775.22, 1,160.15 and 482.58 is: 722.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.22 : 1,160.15 = 482.58 : x
  2. Step 2: Convert to fraction form
    775.22/1,160.15 = 482.58/x
  3. Step 3: Cross multiply
    775.22x = 1,160.15 × 482.58
  4. Step 4: Simplify right side
    775.22x = 559,862.77
  5. Step 5: Solve for x
    x = 559,862.77/775.22
  6. Step 6: Final answer
    x = 722.20

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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.