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Finding the Fourth Proportional to 646, 891.36 and 413

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Solution

The fourth proportional to 646, 891.36 and 413 is: 569.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    646 : 891.36 = 413 : x
  2. Step 2: Convert to fraction form
    646/891.36 = 413/x
  3. Step 3: Cross multiply
    646x = 891.36 × 413
  4. Step 4: Simplify right side
    646x = 368,131.68
  5. Step 5: Solve for x
    x = 368,131.68/646
  6. Step 6: Final answer
    x = 569.86

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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.