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Finding the Fourth Proportional to 1,151.09, 1,725.57 and 420.47

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Solution

The fourth proportional to 1,151.09, 1,725.57 and 420.47 is: 630.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.09 : 1,725.57 = 420.47 : x
  2. Step 2: Convert to fraction form
    1,151.09/1,725.57 = 420.47/x
  3. Step 3: Cross multiply
    1,151.09x = 1,725.57 × 420.47
  4. Step 4: Simplify right side
    1,151.09x = 725,541.79
  5. Step 5: Solve for x
    x = 725,541.79/1,151.09
  6. Step 6: Final answer
    x = 630.31

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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.