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Finding the Fourth Proportional to 1,753.04, 2,629.54 and 657.92

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Solution

The fourth proportional to 1,753.04, 2,629.54 and 657.92 is: 986.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.04 : 2,629.54 = 657.92 : x
  2. Step 2: Convert to fraction form
    1,753.04/2,629.54 = 657.92/x
  3. Step 3: Cross multiply
    1,753.04x = 2,629.54 × 657.92
  4. Step 4: Simplify right side
    1,753.04x = 1,730,026.96
  5. Step 5: Solve for x
    x = 1,730,026.96/1,753.04
  6. Step 6: Final answer
    x = 986.87

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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.