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Finding the Fourth Proportional to 610.45, 842.13 and 586.88

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Solution

The fourth proportional to 610.45, 842.13 and 586.88 is: 809.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.45 : 842.13 = 586.88 : x
  2. Step 2: Convert to fraction form
    610.45/842.13 = 586.88/x
  3. Step 3: Cross multiply
    610.45x = 842.13 × 586.88
  4. Step 4: Simplify right side
    610.45x = 494,228.20
  5. Step 5: Solve for x
    x = 494,228.20/610.45
  6. Step 6: Final answer
    x = 809.62

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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.