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Finding the Fourth Proportional to 1,638.74, 2,456.29 and 597.89

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Solution

The fourth proportional to 1,638.74, 2,456.29 and 597.89 is: 896.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.74 : 2,456.29 = 597.89 : x
  2. Step 2: Convert to fraction form
    1,638.74/2,456.29 = 597.89/x
  3. Step 3: Cross multiply
    1,638.74x = 2,456.29 × 597.89
  4. Step 4: Simplify right side
    1,638.74x = 1,468,591.23
  5. Step 5: Solve for x
    x = 1,468,591.23/1,638.74
  6. Step 6: Final answer
    x = 896.17

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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.