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Finding the Fourth Proportional to 1,075.22, 1,612.64 and 490.04

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Solution

The fourth proportional to 1,075.22, 1,612.64 and 490.04 is: 734.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.22 : 1,612.64 = 490.04 : x
  2. Step 2: Convert to fraction form
    1,075.22/1,612.64 = 490.04/x
  3. Step 3: Cross multiply
    1,075.22x = 1,612.64 × 490.04
  4. Step 4: Simplify right side
    1,075.22x = 790,258.11
  5. Step 5: Solve for x
    x = 790,258.11/1,075.22
  6. Step 6: Final answer
    x = 734.97

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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.