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Finding the Fourth Proportional to 646.65, 891.81 and 581.37

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Solution

The fourth proportional to 646.65, 891.81 and 581.37 is: 801.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.65 : 891.81 = 581.37 : x
  2. Step 2: Convert to fraction form
    646.65/891.81 = 581.37/x
  3. Step 3: Cross multiply
    646.65x = 891.81 × 581.37
  4. Step 4: Simplify right side
    646.65x = 518,471.58
  5. Step 5: Solve for x
    x = 518,471.58/646.65
  6. Step 6: Final answer
    x = 801.78

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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.