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Finding the Fourth Proportional to 1,149, 1,720.35 and 802.68

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Solution

The fourth proportional to 1,149, 1,720.35 and 802.68 is: 1,201.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149 : 1,720.35 = 802.68 : x
  2. Step 2: Convert to fraction form
    1,149/1,720.35 = 802.68/x
  3. Step 3: Cross multiply
    1,149x = 1,720.35 × 802.68
  4. Step 4: Simplify right side
    1,149x = 1,380,890.54
  5. Step 5: Solve for x
    x = 1,380,890.54/1,149
  6. Step 6: Final answer
    x = 1,201.82

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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.