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Finding the Fourth Proportional to 646.40, 893.76 and 564.42

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Solution

The fourth proportional to 646.40, 893.76 and 564.42 is: 780.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.40 : 893.76 = 564.42 : x
  2. Step 2: Convert to fraction form
    646.40/893.76 = 564.42/x
  3. Step 3: Cross multiply
    646.40x = 893.76 × 564.42
  4. Step 4: Simplify right side
    646.40x = 504,456.02
  5. Step 5: Solve for x
    x = 504,456.02/646.40
  6. Step 6: Final answer
    x = 780.41

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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.