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Finding the Fourth Proportional to 661.27, 912.58 and 412.40

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Solution

The fourth proportional to 661.27, 912.58 and 412.40 is: 569.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.27 : 912.58 = 412.40 : x
  2. Step 2: Convert to fraction form
    661.27/912.58 = 412.40/x
  3. Step 3: Cross multiply
    661.27x = 912.58 × 412.40
  4. Step 4: Simplify right side
    661.27x = 376,342.40
  5. Step 5: Solve for x
    x = 376,342.40/661.27
  6. Step 6: Final answer
    x = 569.12

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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.