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Finding the Fourth Proportional to 3,053.50, 4,580.26 and 745.00

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Solution

The fourth proportional to 3,053.50, 4,580.26 and 745.00 is: 1,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.50 : 4,580.26 = 745.00 : x
  2. Step 2: Convert to fraction form
    3,053.50/4,580.26 = 745.00/x
  3. Step 3: Cross multiply
    3,053.50x = 4,580.26 × 745.00
  4. Step 4: Simplify right side
    3,053.50x = 3,412,280.39
  5. Step 5: Solve for x
    x = 3,412,280.39/3,053.50
  6. Step 6: Final answer
    x = 1,117.50

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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.