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Finding the Fourth Proportional to 1,628.98, 2,443.90 and 655.76

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Solution

The fourth proportional to 1,628.98, 2,443.90 and 655.76 is: 983.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.98 : 2,443.90 = 655.76 : x
  2. Step 2: Convert to fraction form
    1,628.98/2,443.90 = 655.76/x
  3. Step 3: Cross multiply
    1,628.98x = 2,443.90 × 655.76
  4. Step 4: Simplify right side
    1,628.98x = 1,602,611.86
  5. Step 5: Solve for x
    x = 1,602,611.86/1,628.98
  6. Step 6: Final answer
    x = 983.81

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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.