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Finding the Fourth Proportional to 1,177.69, 1,625.21 and 646.58

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Solution

The fourth proportional to 1,177.69, 1,625.21 and 646.58 is: 892.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.69 : 1,625.21 = 646.58 : x
  2. Step 2: Convert to fraction form
    1,177.69/1,625.21 = 646.58/x
  3. Step 3: Cross multiply
    1,177.69x = 1,625.21 × 646.58
  4. Step 4: Simplify right side
    1,177.69x = 1,050,828.28
  5. Step 5: Solve for x
    x = 1,050,828.28/1,177.69
  6. Step 6: Final answer
    x = 892.28

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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.