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Finding the Fourth Proportional to 780.52, 1,077.04 and 485.56

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Solution

The fourth proportional to 780.52, 1,077.04 and 485.56 is: 670.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.52 : 1,077.04 = 485.56 : x
  2. Step 2: Convert to fraction form
    780.52/1,077.04 = 485.56/x
  3. Step 3: Cross multiply
    780.52x = 1,077.04 × 485.56
  4. Step 4: Simplify right side
    780.52x = 522,959.73
  5. Step 5: Solve for x
    x = 522,959.73/780.52
  6. Step 6: Final answer
    x = 670.02

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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.