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Finding the Fourth Proportional to 427.31, 586.27 and 415.77

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Solution

The fourth proportional to 427.31, 586.27 and 415.77 is: 570.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.31 : 586.27 = 415.77 : x
  2. Step 2: Convert to fraction form
    427.31/586.27 = 415.77/x
  3. Step 3: Cross multiply
    427.31x = 586.27 × 415.77
  4. Step 4: Simplify right side
    427.31x = 243,751.80
  5. Step 5: Solve for x
    x = 243,751.80/427.31
  6. Step 6: Final answer
    x = 570.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.