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Finding the Fourth Proportional to 1,648.42, 2,472.63 and 415.90

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Solution

The fourth proportional to 1,648.42, 2,472.63 and 415.90 is: 623.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.42 : 2,472.63 = 415.90 : x
  2. Step 2: Convert to fraction form
    1,648.42/2,472.63 = 415.90/x
  3. Step 3: Cross multiply
    1,648.42x = 2,472.63 × 415.90
  4. Step 4: Simplify right side
    1,648.42x = 1,028,368.35
  5. Step 5: Solve for x
    x = 1,028,368.35/1,648.42
  6. Step 6: Final answer
    x = 623.85

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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.