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Finding the Fourth Proportional to 726.76, 999.66 and 586

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Solution

The fourth proportional to 726.76, 999.66 and 586 is: 806.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.76 : 999.66 = 586 : x
  2. Step 2: Convert to fraction form
    726.76/999.66 = 586/x
  3. Step 3: Cross multiply
    726.76x = 999.66 × 586
  4. Step 4: Simplify right side
    726.76x = 585,800.76
  5. Step 5: Solve for x
    x = 585,800.76/726.76
  6. Step 6: Final answer
    x = 806.04

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Find fourth proportional to 363.38, 499.83 and 293
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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.