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Finding the Fourth Proportional to 1,552.83, 2,327.76 and 628.23

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Solution

The fourth proportional to 1,552.83, 2,327.76 and 628.23 is: 941.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.83 : 2,327.76 = 628.23 : x
  2. Step 2: Convert to fraction form
    1,552.83/2,327.76 = 628.23/x
  3. Step 3: Cross multiply
    1,552.83x = 2,327.76 × 628.23
  4. Step 4: Simplify right side
    1,552.83x = 1,462,368.66
  5. Step 5: Solve for x
    x = 1,462,368.66/1,552.83
  6. Step 6: Final answer
    x = 941.74

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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.