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Finding the Fourth Proportional to 780.50, 1,077.82 and 574.58

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Solution

The fourth proportional to 780.50, 1,077.82 and 574.58 is: 793.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.50 : 1,077.82 = 574.58 : x
  2. Step 2: Convert to fraction form
    780.50/1,077.82 = 574.58/x
  3. Step 3: Cross multiply
    780.50x = 1,077.82 × 574.58
  4. Step 4: Simplify right side
    780.50x = 619,293.82
  5. Step 5: Solve for x
    x = 619,293.82/780.50
  6. Step 6: Final answer
    x = 793.46

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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.