Home / 1,151.19-1,725.71-420.57

Finding the Fourth Proportional to 1,151.19, 1,725.71 and 420.57

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Solution

The fourth proportional to 1,151.19, 1,725.71 and 420.57 is: 630.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.19 : 1,725.71 = 420.57 : x
  2. Step 2: Convert to fraction form
    1,151.19/1,725.71 = 420.57/x
  3. Step 3: Cross multiply
    1,151.19x = 1,725.71 × 420.57
  4. Step 4: Simplify right side
    1,151.19x = 725,779.75
  5. Step 5: Solve for x
    x = 725,779.75/1,151.19
  6. Step 6: Final answer
    x = 630.46

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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.