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Finding the Fourth Proportional to 919.51, 1,269.51 and 709.30

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Solution

The fourth proportional to 919.51, 1,269.51 and 709.30 is: 979.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.51 : 1,269.51 = 709.30 : x
  2. Step 2: Convert to fraction form
    919.51/1,269.51 = 709.30/x
  3. Step 3: Cross multiply
    919.51x = 1,269.51 × 709.30
  4. Step 4: Simplify right side
    919.51x = 900,463.44
  5. Step 5: Solve for x
    x = 900,463.44/919.51
  6. Step 6: Final answer
    x = 979.29

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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.