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Finding the Fourth Proportional to 1,150.96, 1,725.40 and 420.02

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Solution

The fourth proportional to 1,150.96, 1,725.40 and 420.02 is: 629.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.96 : 1,725.40 = 420.02 : x
  2. Step 2: Convert to fraction form
    1,150.96/1,725.40 = 420.02/x
  3. Step 3: Cross multiply
    1,150.96x = 1,725.40 × 420.02
  4. Step 4: Simplify right side
    1,150.96x = 724,702.51
  5. Step 5: Solve for x
    x = 724,702.51/1,150.96
  6. Step 6: Final answer
    x = 629.65

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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.