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Finding the Fourth Proportional to 792.64, 1,182.77 and 710.65

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Solution

The fourth proportional to 792.64, 1,182.77 and 710.65 is: 1,060.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.64 : 1,182.77 = 710.65 : x
  2. Step 2: Convert to fraction form
    792.64/1,182.77 = 710.65/x
  3. Step 3: Cross multiply
    792.64x = 1,182.77 × 710.65
  4. Step 4: Simplify right side
    792.64x = 840,535.50
  5. Step 5: Solve for x
    x = 840,535.50/792.64
  6. Step 6: Final answer
    x = 1,060.43

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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.