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Finding the Fourth Proportional to 646.11, 889.32 and 540

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Solution

The fourth proportional to 646.11, 889.32 and 540 is: 743.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.11 : 889.32 = 540 : x
  2. Step 2: Convert to fraction form
    646.11/889.32 = 540/x
  3. Step 3: Cross multiply
    646.11x = 889.32 × 540
  4. Step 4: Simplify right side
    646.11x = 480,232.80
  5. Step 5: Solve for x
    x = 480,232.80/646.11
  6. Step 6: Final answer
    x = 743.27

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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.