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Finding the Fourth Proportional to 703.64, 1,053.38 and 673.57

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Solution

The fourth proportional to 703.64, 1,053.38 and 673.57 is: 1,008.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.64 : 1,053.38 = 673.57 : x
  2. Step 2: Convert to fraction form
    703.64/1,053.38 = 673.57/x
  3. Step 3: Cross multiply
    703.64x = 1,053.38 × 673.57
  4. Step 4: Simplify right side
    703.64x = 709,525.17
  5. Step 5: Solve for x
    x = 709,525.17/703.64
  6. Step 6: Final answer
    x = 1,008.36

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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.