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Finding the Fourth Proportional to 780.79, 1,077.42 and 486.04

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Solution

The fourth proportional to 780.79, 1,077.42 and 486.04 is: 670.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.79 : 1,077.42 = 486.04 : x
  2. Step 2: Convert to fraction form
    780.79/1,077.42 = 486.04/x
  3. Step 3: Cross multiply
    780.79x = 1,077.42 × 486.04
  4. Step 4: Simplify right side
    780.79x = 523,669.22
  5. Step 5: Solve for x
    x = 523,669.22/780.79
  6. Step 6: Final answer
    x = 670.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.