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Finding the Fourth Proportional to 1,725.66, 2,588.48 and 427.13

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Solution

The fourth proportional to 1,725.66, 2,588.48 and 427.13 is: 640.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.66 : 2,588.48 = 427.13 : x
  2. Step 2: Convert to fraction form
    1,725.66/2,588.48 = 427.13/x
  3. Step 3: Cross multiply
    1,725.66x = 2,588.48 × 427.13
  4. Step 4: Simplify right side
    1,725.66x = 1,105,606.39
  5. Step 5: Solve for x
    x = 1,105,606.39/1,725.66
  6. Step 6: Final answer
    x = 640.69

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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.