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Finding the Fourth Proportional to 756.21, 1,134.05 and 738.93

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Solution

The fourth proportional to 756.21, 1,134.05 and 738.93 is: 1,108.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.21 : 1,134.05 = 738.93 : x
  2. Step 2: Convert to fraction form
    756.21/1,134.05 = 738.93/x
  3. Step 3: Cross multiply
    756.21x = 1,134.05 × 738.93
  4. Step 4: Simplify right side
    756.21x = 837,979.87
  5. Step 5: Solve for x
    x = 837,979.87/756.21
  6. Step 6: Final answer
    x = 1,108.13

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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.