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Finding the Fourth Proportional to 3,053.50, 4,580.28 and 745

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Solution

The fourth proportional to 3,053.50, 4,580.28 and 745 is: 1,117.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.50 : 4,580.28 = 745 : x
  2. Step 2: Convert to fraction form
    3,053.50/4,580.28 = 745/x
  3. Step 3: Cross multiply
    3,053.50x = 4,580.28 × 745
  4. Step 4: Simplify right side
    3,053.50x = 3,412,308.60
  5. Step 5: Solve for x
    x = 3,412,308.60/3,053.50
  6. Step 6: Final answer
    x = 1,117.51

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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.