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Finding the Fourth Proportional to 1,064.99, 1,470.09 and 799.50

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Solution

The fourth proportional to 1,064.99, 1,470.09 and 799.50 is: 1,103.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.99 : 1,470.09 = 799.50 : x
  2. Step 2: Convert to fraction form
    1,064.99/1,470.09 = 799.50/x
  3. Step 3: Cross multiply
    1,064.99x = 1,470.09 × 799.50
  4. Step 4: Simplify right side
    1,064.99x = 1,175,336.96
  5. Step 5: Solve for x
    x = 1,175,336.96/1,064.99
  6. Step 6: Final answer
    x = 1,103.62

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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.