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Finding the Fourth Proportional to 660.53, 911.97 and 590.36

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Solution

The fourth proportional to 660.53, 911.97 and 590.36 is: 815.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.53 : 911.97 = 590.36 : x
  2. Step 2: Convert to fraction form
    660.53/911.97 = 590.36/x
  3. Step 3: Cross multiply
    660.53x = 911.97 × 590.36
  4. Step 4: Simplify right side
    660.53x = 538,389.47
  5. Step 5: Solve for x
    x = 538,389.47/660.53
  6. Step 6: Final answer
    x = 815.09

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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.