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Finding the Fourth Proportional to 780.97, 1,077.67 and 486.13

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Solution

The fourth proportional to 780.97, 1,077.67 and 486.13 is: 670.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.97 : 1,077.67 = 486.13 : x
  2. Step 2: Convert to fraction form
    780.97/1,077.67 = 486.13/x
  3. Step 3: Cross multiply
    780.97x = 1,077.67 × 486.13
  4. Step 4: Simplify right side
    780.97x = 523,887.72
  5. Step 5: Solve for x
    x = 523,887.72/780.97
  6. Step 6: Final answer
    x = 670.82

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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.