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Finding the Fourth Proportional to 792.52, 1,180.64 and 756.98

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Solution

The fourth proportional to 792.52, 1,180.64 and 756.98 is: 1,127.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.52 : 1,180.64 = 756.98 : x
  2. Step 2: Convert to fraction form
    792.52/1,180.64 = 756.98/x
  3. Step 3: Cross multiply
    792.52x = 1,180.64 × 756.98
  4. Step 4: Simplify right side
    792.52x = 893,720.87
  5. Step 5: Solve for x
    x = 893,720.87/792.52
  6. Step 6: Final answer
    x = 1,127.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.