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Finding the Fourth Proportional to 1,005.06, 1,505.58 and 919.40

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Solution

The fourth proportional to 1,005.06, 1,505.58 and 919.40 is: 1,377.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.06 : 1,505.58 = 919.40 : x
  2. Step 2: Convert to fraction form
    1,005.06/1,505.58 = 919.40/x
  3. Step 3: Cross multiply
    1,005.06x = 1,505.58 × 919.40
  4. Step 4: Simplify right side
    1,005.06x = 1,384,230.25
  5. Step 5: Solve for x
    x = 1,384,230.25/1,005.06
  6. Step 6: Final answer
    x = 1,377.26

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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.