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Finding the Fourth Proportional to 1,553.40, 2,328.08 and 628.20

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Solution

The fourth proportional to 1,553.40, 2,328.08 and 628.20 is: 941.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.40 : 2,328.08 = 628.20 : x
  2. Step 2: Convert to fraction form
    1,553.40/2,328.08 = 628.20/x
  3. Step 3: Cross multiply
    1,553.40x = 2,328.08 × 628.20
  4. Step 4: Simplify right side
    1,553.40x = 1,462,496.72
  5. Step 5: Solve for x
    x = 1,462,496.72/1,553.40
  6. Step 6: Final answer
    x = 941.48

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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.