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Finding the Fourth Proportional to 660.64, 985.76 and 582.88

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Solution

The fourth proportional to 660.64, 985.76 and 582.88 is: 869.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.64 : 985.76 = 582.88 : x
  2. Step 2: Convert to fraction form
    660.64/985.76 = 582.88/x
  3. Step 3: Cross multiply
    660.64x = 985.76 × 582.88
  4. Step 4: Simplify right side
    660.64x = 574,579.79
  5. Step 5: Solve for x
    x = 574,579.79/660.64
  6. Step 6: Final answer
    x = 869.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.