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Finding the Fourth Proportional to 1,043.06, 1,564.59 and 720.48

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Solution

The fourth proportional to 1,043.06, 1,564.59 and 720.48 is: 1,080.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.06 : 1,564.59 = 720.48 : x
  2. Step 2: Convert to fraction form
    1,043.06/1,564.59 = 720.48/x
  3. Step 3: Cross multiply
    1,043.06x = 1,564.59 × 720.48
  4. Step 4: Simplify right side
    1,043.06x = 1,127,255.80
  5. Step 5: Solve for x
    x = 1,127,255.80/1,043.06
  6. Step 6: Final answer
    x = 1,080.73

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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.