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Finding the Fourth Proportional to 1,080.90, 1,491.08 and 703.32

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Solution

The fourth proportional to 1,080.90, 1,491.08 and 703.32 is: 970.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.90 : 1,491.08 = 703.32 : x
  2. Step 2: Convert to fraction form
    1,080.90/1,491.08 = 703.32/x
  3. Step 3: Cross multiply
    1,080.90x = 1,491.08 × 703.32
  4. Step 4: Simplify right side
    1,080.90x = 1,048,706.39
  5. Step 5: Solve for x
    x = 1,048,706.39/1,080.90
  6. Step 6: Final answer
    x = 970.22

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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.