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Finding the Fourth Proportional to 762.12, 1,051.20 and 540.72

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Solution

The fourth proportional to 762.12, 1,051.20 and 540.72 is: 745.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.12 : 1,051.20 = 540.72 : x
  2. Step 2: Convert to fraction form
    762.12/1,051.20 = 540.72/x
  3. Step 3: Cross multiply
    762.12x = 1,051.20 × 540.72
  4. Step 4: Simplify right side
    762.12x = 568,404.86
  5. Step 5: Solve for x
    x = 568,404.86/762.12
  6. Step 6: Final answer
    x = 745.82

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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.