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Finding the Fourth Proportional to 1,069.66, 1,473.06 and 919.08

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Solution

The fourth proportional to 1,069.66, 1,473.06 and 919.08 is: 1,265.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.66 : 1,473.06 = 919.08 : x
  2. Step 2: Convert to fraction form
    1,069.66/1,473.06 = 919.08/x
  3. Step 3: Cross multiply
    1,069.66x = 1,473.06 × 919.08
  4. Step 4: Simplify right side
    1,069.66x = 1,353,859.98
  5. Step 5: Solve for x
    x = 1,353,859.98/1,069.66
  6. Step 6: Final answer
    x = 1,265.69

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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.