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Finding the Fourth Proportional to 780.24, 1,077 and 486

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Solution

The fourth proportional to 780.24, 1,077 and 486 is: 670.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.24 : 1,077 = 486 : x
  2. Step 2: Convert to fraction form
    780.24/1,077 = 486/x
  3. Step 3: Cross multiply
    780.24x = 1,077 × 486
  4. Step 4: Simplify right side
    780.24x = 523,422
  5. Step 5: Solve for x
    x = 523,422/780.24
  6. Step 6: Final answer
    x = 670.85

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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.