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Finding the Fourth Proportional to 1,455.53, 2,006.29 and 983.28

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Solution

The fourth proportional to 1,455.53, 2,006.29 and 983.28 is: 1,355.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.53 : 2,006.29 = 983.28 : x
  2. Step 2: Convert to fraction form
    1,455.53/2,006.29 = 983.28/x
  3. Step 3: Cross multiply
    1,455.53x = 2,006.29 × 983.28
  4. Step 4: Simplify right side
    1,455.53x = 1,972,742.30
  5. Step 5: Solve for x
    x = 1,972,742.30/1,455.53
  6. Step 6: Final answer
    x = 1,355.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.