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Finding the Fourth Proportional to 660.52, 910.92 and 582.76

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Solution

The fourth proportional to 660.52, 910.92 and 582.76 is: 803.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.52 : 910.92 = 582.76 : x
  2. Step 2: Convert to fraction form
    660.52/910.92 = 582.76/x
  3. Step 3: Cross multiply
    660.52x = 910.92 × 582.76
  4. Step 4: Simplify right side
    660.52x = 530,847.74
  5. Step 5: Solve for x
    x = 530,847.74/660.52
  6. Step 6: Final answer
    x = 803.68

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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.