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Finding the Fourth Proportional to 703.30, 1,049.59 and 675.04

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Solution

The fourth proportional to 703.30, 1,049.59 and 675.04 is: 1,007.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.30 : 1,049.59 = 675.04 : x
  2. Step 2: Convert to fraction form
    703.30/1,049.59 = 675.04/x
  3. Step 3: Cross multiply
    703.30x = 1,049.59 × 675.04
  4. Step 4: Simplify right side
    703.30x = 708,515.23
  5. Step 5: Solve for x
    x = 708,515.23/703.30
  6. Step 6: Final answer
    x = 1,007.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.