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Finding the Fourth Proportional to 660.64, 910.96 and 411.87

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Solution

The fourth proportional to 660.64, 910.96 and 411.87 is: 567.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.64 : 910.96 = 411.87 : x
  2. Step 2: Convert to fraction form
    660.64/910.96 = 411.87/x
  3. Step 3: Cross multiply
    660.64x = 910.96 × 411.87
  4. Step 4: Simplify right side
    660.64x = 375,196.67
  5. Step 5: Solve for x
    x = 375,196.67/660.64
  6. Step 6: Final answer
    x = 567.93

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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.