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Finding the Fourth Proportional to 661.52, 913.07 and 412.70

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Solution

The fourth proportional to 661.52, 913.07 and 412.70 is: 569.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.52 : 913.07 = 412.70 : x
  2. Step 2: Convert to fraction form
    661.52/913.07 = 412.70/x
  3. Step 3: Cross multiply
    661.52x = 913.07 × 412.70
  4. Step 4: Simplify right side
    661.52x = 376,820.46
  5. Step 5: Solve for x
    x = 376,820.46/661.52
  6. Step 6: Final answer
    x = 569.63

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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.