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Finding the Fourth Proportional to 646.98, 890.76 and 548.43

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Solution

The fourth proportional to 646.98, 890.76 and 548.43 is: 755.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.98 : 890.76 = 548.43 : x
  2. Step 2: Convert to fraction form
    646.98/890.76 = 548.43/x
  3. Step 3: Cross multiply
    646.98x = 890.76 × 548.43
  4. Step 4: Simplify right side
    646.98x = 488,519.51
  5. Step 5: Solve for x
    x = 488,519.51/646.98
  6. Step 6: Final answer
    x = 755.08

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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.