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Finding the Fourth Proportional to 1,623.02, 2,432.77 and 648.05

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Solution

The fourth proportional to 1,623.02, 2,432.77 and 648.05 is: 971.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.02 : 2,432.77 = 648.05 : x
  2. Step 2: Convert to fraction form
    1,623.02/2,432.77 = 648.05/x
  3. Step 3: Cross multiply
    1,623.02x = 2,432.77 × 648.05
  4. Step 4: Simplify right side
    1,623.02x = 1,576,542.81
  5. Step 5: Solve for x
    x = 1,576,542.81/1,623.02
  6. Step 6: Final answer
    x = 971.37

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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.