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Finding the Fourth Proportional to 1,159.58, 1,735.22 and 720.47

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Solution

The fourth proportional to 1,159.58, 1,735.22 and 720.47 is: 1,078.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.58 : 1,735.22 = 720.47 : x
  2. Step 2: Convert to fraction form
    1,159.58/1,735.22 = 720.47/x
  3. Step 3: Cross multiply
    1,159.58x = 1,735.22 × 720.47
  4. Step 4: Simplify right side
    1,159.58x = 1,250,161.67
  5. Step 5: Solve for x
    x = 1,250,161.67/1,159.58
  6. Step 6: Final answer
    x = 1,078.12

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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.