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Finding the Fourth Proportional to 1,150.25, 1,725.77 and 457.39

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Solution

The fourth proportional to 1,150.25, 1,725.77 and 457.39 is: 686.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.25 : 1,725.77 = 457.39 : x
  2. Step 2: Convert to fraction form
    1,150.25/1,725.77 = 457.39/x
  3. Step 3: Cross multiply
    1,150.25x = 1,725.77 × 457.39
  4. Step 4: Simplify right side
    1,150.25x = 789,353.24
  5. Step 5: Solve for x
    x = 789,353.24/1,150.25
  6. Step 6: Final answer
    x = 686.25

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1.5x scale

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.