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Finding the Fourth Proportional to 646.77, 891.49 and 506.66

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Solution

The fourth proportional to 646.77, 891.49 and 506.66 is: 698.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.77 : 891.49 = 506.66 : x
  2. Step 2: Convert to fraction form
    646.77/891.49 = 506.66/x
  3. Step 3: Cross multiply
    646.77x = 891.49 × 506.66
  4. Step 4: Simplify right side
    646.77x = 451,682.32
  5. Step 5: Solve for x
    x = 451,682.32/646.77
  6. Step 6: Final answer
    x = 698.37

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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.