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Finding the Fourth Proportional to 848.50, 1,171.56 and 628

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Solution

The fourth proportional to 848.50, 1,171.56 and 628 is: 867.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.50 : 1,171.56 = 628 : x
  2. Step 2: Convert to fraction form
    848.50/1,171.56 = 628/x
  3. Step 3: Cross multiply
    848.50x = 1,171.56 × 628
  4. Step 4: Simplify right side
    848.50x = 735,739.68
  5. Step 5: Solve for x
    x = 735,739.68/848.50
  6. Step 6: Final answer
    x = 867.11

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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.