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Finding the Fourth Proportional to 656.75, 985.53 and 368.39

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Solution

The fourth proportional to 656.75, 985.53 and 368.39 is: 552.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.75 : 985.53 = 368.39 : x
  2. Step 2: Convert to fraction form
    656.75/985.53 = 368.39/x
  3. Step 3: Cross multiply
    656.75x = 985.53 × 368.39
  4. Step 4: Simplify right side
    656.75x = 363,054.47
  5. Step 5: Solve for x
    x = 363,054.47/656.75
  6. Step 6: Final answer
    x = 552.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.