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Finding the Fourth Proportional to 1,648.37, 2,472.54 and 415.87

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Solution

The fourth proportional to 1,648.37, 2,472.54 and 415.87 is: 623.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.37 : 2,472.54 = 415.87 : x
  2. Step 2: Convert to fraction form
    1,648.37/2,472.54 = 415.87/x
  3. Step 3: Cross multiply
    1,648.37x = 2,472.54 × 415.87
  4. Step 4: Simplify right side
    1,648.37x = 1,028,259.86
  5. Step 5: Solve for x
    x = 1,028,259.86/1,648.37
  6. Step 6: Final answer
    x = 623.81

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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.