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Finding the Fourth Proportional to 646.18, 889.49 and 562.10

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Solution

The fourth proportional to 646.18, 889.49 and 562.10 is: 773.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.18 : 889.49 = 562.10 : x
  2. Step 2: Convert to fraction form
    646.18/889.49 = 562.10/x
  3. Step 3: Cross multiply
    646.18x = 889.49 × 562.10
  4. Step 4: Simplify right side
    646.18x = 499,982.33
  5. Step 5: Solve for x
    x = 499,982.33/646.18
  6. Step 6: Final answer
    x = 773.75

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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.