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Finding the Fourth Proportional to 1,150.77, 1,725.03 and 457.21

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Solution

The fourth proportional to 1,150.77, 1,725.03 and 457.21 is: 685.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.77 : 1,725.03 = 457.21 : x
  2. Step 2: Convert to fraction form
    1,150.77/1,725.03 = 457.21/x
  3. Step 3: Cross multiply
    1,150.77x = 1,725.03 × 457.21
  4. Step 4: Simplify right side
    1,150.77x = 788,696.65
  5. Step 5: Solve for x
    x = 788,696.65/1,150.77
  6. Step 6: Final answer
    x = 685.36

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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.