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Finding the Fourth Proportional to 730.47, 1,090.50 and 704.84

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Solution

The fourth proportional to 730.47, 1,090.50 and 704.84 is: 1,052.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.47 : 1,090.50 = 704.84 : x
  2. Step 2: Convert to fraction form
    730.47/1,090.50 = 704.84/x
  3. Step 3: Cross multiply
    730.47x = 1,090.50 × 704.84
  4. Step 4: Simplify right side
    730.47x = 768,619.92
  5. Step 5: Solve for x
    x = 768,619.92/730.47
  6. Step 6: Final answer
    x = 1,052.23

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1.5x scale

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.