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Finding the Fourth Proportional to 660.68, 912.18 and 412.10

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Solution

The fourth proportional to 660.68, 912.18 and 412.10 is: 568.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.68 : 912.18 = 412.10 : x
  2. Step 2: Convert to fraction form
    660.68/912.18 = 412.10/x
  3. Step 3: Cross multiply
    660.68x = 912.18 × 412.10
  4. Step 4: Simplify right side
    660.68x = 375,909.38
  5. Step 5: Solve for x
    x = 375,909.38/660.68
  6. Step 6: Final answer
    x = 568.97

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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.