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Finding the Fourth Proportional to 1,582, 2,373 and 427.75

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Solution

The fourth proportional to 1,582, 2,373 and 427.75 is: 641.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582 : 2,373 = 427.75 : x
  2. Step 2: Convert to fraction form
    1,582/2,373 = 427.75/x
  3. Step 3: Cross multiply
    1,582x = 2,373 × 427.75
  4. Step 4: Simplify right side
    1,582x = 1,015,050.75
  5. Step 5: Solve for x
    x = 1,015,050.75/1,582
  6. Step 6: Final answer
    x = 641.63

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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.