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Finding the Fourth Proportional to 646.86, 893.07 and 410.94

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Solution

The fourth proportional to 646.86, 893.07 and 410.94 is: 567.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.86 : 893.07 = 410.94 : x
  2. Step 2: Convert to fraction form
    646.86/893.07 = 410.94/x
  3. Step 3: Cross multiply
    646.86x = 893.07 × 410.94
  4. Step 4: Simplify right side
    646.86x = 366,998.19
  5. Step 5: Solve for x
    x = 366,998.19/646.86
  6. Step 6: Final answer
    x = 567.35

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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.