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Finding the Fourth Proportional to 577.25, 860.31 and 576.34

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Solution

The fourth proportional to 577.25, 860.31 and 576.34 is: 858.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.25 : 860.31 = 576.34 : x
  2. Step 2: Convert to fraction form
    577.25/860.31 = 576.34/x
  3. Step 3: Cross multiply
    577.25x = 860.31 × 576.34
  4. Step 4: Simplify right side
    577.25x = 495,831.07
  5. Step 5: Solve for x
    x = 495,831.07/577.25
  6. Step 6: Final answer
    x = 858.95

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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.