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Finding the Fourth Proportional to 646.09, 893.56 and 557.66

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Solution

The fourth proportional to 646.09, 893.56 and 557.66 is: 771.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.09 : 893.56 = 557.66 : x
  2. Step 2: Convert to fraction form
    646.09/893.56 = 557.66/x
  3. Step 3: Cross multiply
    646.09x = 893.56 × 557.66
  4. Step 4: Simplify right side
    646.09x = 498,302.67
  5. Step 5: Solve for x
    x = 498,302.67/646.09
  6. Step 6: Final answer
    x = 771.26

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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.