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Finding the Fourth Proportional to 1,151, 1,725.38 and 420.07

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Solution

The fourth proportional to 1,151, 1,725.38 and 420.07 is: 629.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151 : 1,725.38 = 420.07 : x
  2. Step 2: Convert to fraction form
    1,151/1,725.38 = 420.07/x
  3. Step 3: Cross multiply
    1,151x = 1,725.38 × 420.07
  4. Step 4: Simplify right side
    1,151x = 724,780.38
  5. Step 5: Solve for x
    x = 724,780.38/1,151
  6. Step 6: Final answer
    x = 629.70

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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.