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Finding the Fourth Proportional to 541.68, 745.96 and 515.76

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Solution

The fourth proportional to 541.68, 745.96 and 515.76 is: 710.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.68 : 745.96 = 515.76 : x
  2. Step 2: Convert to fraction form
    541.68/745.96 = 515.76/x
  3. Step 3: Cross multiply
    541.68x = 745.96 × 515.76
  4. Step 4: Simplify right side
    541.68x = 384,736.33
  5. Step 5: Solve for x
    x = 384,736.33/541.68
  6. Step 6: Final answer
    x = 710.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.