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Finding the Fourth Proportional to 1,650.02, 2,474.66 and 480.02

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Solution

The fourth proportional to 1,650.02, 2,474.66 and 480.02 is: 719.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.02 : 2,474.66 = 480.02 : x
  2. Step 2: Convert to fraction form
    1,650.02/2,474.66 = 480.02/x
  3. Step 3: Cross multiply
    1,650.02x = 2,474.66 × 480.02
  4. Step 4: Simplify right side
    1,650.02x = 1,187,886.29
  5. Step 5: Solve for x
    x = 1,187,886.29/1,650.02
  6. Step 6: Final answer
    x = 719.92

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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.