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Finding the Fourth Proportional to 1,050.29, 1,449.28 and 584.51

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Solution

The fourth proportional to 1,050.29, 1,449.28 and 584.51 is: 806.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.29 : 1,449.28 = 584.51 : x
  2. Step 2: Convert to fraction form
    1,050.29/1,449.28 = 584.51/x
  3. Step 3: Cross multiply
    1,050.29x = 1,449.28 × 584.51
  4. Step 4: Simplify right side
    1,050.29x = 847,118.65
  5. Step 5: Solve for x
    x = 847,118.65/1,050.29
  6. Step 6: Final answer
    x = 806.56

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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.