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Finding the Fourth Proportional to 663.76, 917.08 and 580.96

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Solution

The fourth proportional to 663.76, 917.08 and 580.96 is: 802.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.76 : 917.08 = 580.96 : x
  2. Step 2: Convert to fraction form
    663.76/917.08 = 580.96/x
  3. Step 3: Cross multiply
    663.76x = 917.08 × 580.96
  4. Step 4: Simplify right side
    663.76x = 532,786.80
  5. Step 5: Solve for x
    x = 532,786.80/663.76
  6. Step 6: Final answer
    x = 802.68

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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.