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Finding the Fourth Proportional to 745.15, 1,116.23 and 355.53

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Solution

The fourth proportional to 745.15, 1,116.23 and 355.53 is: 532.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.15 : 1,116.23 = 355.53 : x
  2. Step 2: Convert to fraction form
    745.15/1,116.23 = 355.53/x
  3. Step 3: Cross multiply
    745.15x = 1,116.23 × 355.53
  4. Step 4: Simplify right side
    745.15x = 396,845.89
  5. Step 5: Solve for x
    x = 396,845.89/745.15
  6. Step 6: Final answer
    x = 532.58

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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.