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Finding the Fourth Proportional to 775.21, 1,070.03 and 618.11

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Solution

The fourth proportional to 775.21, 1,070.03 and 618.11 is: 853.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.21 : 1,070.03 = 618.11 : x
  2. Step 2: Convert to fraction form
    775.21/1,070.03 = 618.11/x
  3. Step 3: Cross multiply
    775.21x = 1,070.03 × 618.11
  4. Step 4: Simplify right side
    775.21x = 661,396.24
  5. Step 5: Solve for x
    x = 661,396.24/775.21
  6. Step 6: Final answer
    x = 853.18

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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.