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Finding the Fourth Proportional to 662.31, 909.14 and 586.98

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Solution

The fourth proportional to 662.31, 909.14 and 586.98 is: 805.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.31 : 909.14 = 586.98 : x
  2. Step 2: Convert to fraction form
    662.31/909.14 = 586.98/x
  3. Step 3: Cross multiply
    662.31x = 909.14 × 586.98
  4. Step 4: Simplify right side
    662.31x = 533,644.06
  5. Step 5: Solve for x
    x = 533,644.06/662.31
  6. Step 6: Final answer
    x = 805.73

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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.