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Finding the Fourth Proportional to 1,083.02, 1,622.91 and 649.70

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Solution

The fourth proportional to 1,083.02, 1,622.91 and 649.70 is: 973.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.02 : 1,622.91 = 649.70 : x
  2. Step 2: Convert to fraction form
    1,083.02/1,622.91 = 649.70/x
  3. Step 3: Cross multiply
    1,083.02x = 1,622.91 × 649.70
  4. Step 4: Simplify right side
    1,083.02x = 1,054,404.63
  5. Step 5: Solve for x
    x = 1,054,404.63/1,083.02
  6. Step 6: Final answer
    x = 973.58

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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.