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Finding the Fourth Proportional to 646.47, 890.91 and 506.36

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Solution

The fourth proportional to 646.47, 890.91 and 506.36 is: 697.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.47 : 890.91 = 506.36 : x
  2. Step 2: Convert to fraction form
    646.47/890.91 = 506.36/x
  3. Step 3: Cross multiply
    646.47x = 890.91 × 506.36
  4. Step 4: Simplify right side
    646.47x = 451,116.73
  5. Step 5: Solve for x
    x = 451,116.73/646.47
  6. Step 6: Final answer
    x = 697.82

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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.