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Finding the Fourth Proportional to 1,652.89, 2,480.30 and 613.63

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Solution

The fourth proportional to 1,652.89, 2,480.30 and 613.63 is: 920.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.89 : 2,480.30 = 613.63 : x
  2. Step 2: Convert to fraction form
    1,652.89/2,480.30 = 613.63/x
  3. Step 3: Cross multiply
    1,652.89x = 2,480.30 × 613.63
  4. Step 4: Simplify right side
    1,652.89x = 1,521,986.49
  5. Step 5: Solve for x
    x = 1,521,986.49/1,652.89
  6. Step 6: Final answer
    x = 920.80

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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.