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Finding the Fourth Proportional to 646.58, 891.76 and 563.54

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Solution

The fourth proportional to 646.58, 891.76 and 563.54 is: 777.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.58 : 891.76 = 563.54 : x
  2. Step 2: Convert to fraction form
    646.58/891.76 = 563.54/x
  3. Step 3: Cross multiply
    646.58x = 891.76 × 563.54
  4. Step 4: Simplify right side
    646.58x = 502,542.43
  5. Step 5: Solve for x
    x = 502,542.43/646.58
  6. Step 6: Final answer
    x = 777.23

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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.