Home / 1,151.37-1,725.89-457.70

Finding the Fourth Proportional to 1,151.37, 1,725.89 and 457.70

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Solution

The fourth proportional to 1,151.37, 1,725.89 and 457.70 is: 686.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.37 : 1,725.89 = 457.70 : x
  2. Step 2: Convert to fraction form
    1,151.37/1,725.89 = 457.70/x
  3. Step 3: Cross multiply
    1,151.37x = 1,725.89 × 457.70
  4. Step 4: Simplify right side
    1,151.37x = 789,928.94
  5. Step 5: Solve for x
    x = 789,928.94/1,151.37
  6. Step 6: Final answer
    x = 686.08

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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.