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Finding the Fourth Proportional to 646.48, 891.30 and 581.68

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Solution

The fourth proportional to 646.48, 891.30 and 581.68 is: 801.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.48 : 891.30 = 581.68 : x
  2. Step 2: Convert to fraction form
    646.48/891.30 = 581.68/x
  3. Step 3: Cross multiply
    646.48x = 891.30 × 581.68
  4. Step 4: Simplify right side
    646.48x = 518,451.38
  5. Step 5: Solve for x
    x = 518,451.38/646.48
  6. Step 6: Final answer
    x = 801.96

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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.