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Finding the Fourth Proportional to 577.80, 860.76 and 560.79

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Solution

The fourth proportional to 577.80, 860.76 and 560.79 is: 835.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.80 : 860.76 = 560.79 : x
  2. Step 2: Convert to fraction form
    577.80/860.76 = 560.79/x
  3. Step 3: Cross multiply
    577.80x = 860.76 × 560.79
  4. Step 4: Simplify right side
    577.80x = 482,705.60
  5. Step 5: Solve for x
    x = 482,705.60/577.80
  6. Step 6: Final answer
    x = 835.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.