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Finding the Fourth Proportional to 1,053.03, 1,580.63 and 745.23

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Solution

The fourth proportional to 1,053.03, 1,580.63 and 745.23 is: 1,118.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.03 : 1,580.63 = 745.23 : x
  2. Step 2: Convert to fraction form
    1,053.03/1,580.63 = 745.23/x
  3. Step 3: Cross multiply
    1,053.03x = 1,580.63 × 745.23
  4. Step 4: Simplify right side
    1,053.03x = 1,177,929.17
  5. Step 5: Solve for x
    x = 1,177,929.17/1,053.03
  6. Step 6: Final answer
    x = 1,118.61

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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.