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Finding the Fourth Proportional to 656.74, 985.13 and 397.37

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Solution

The fourth proportional to 656.74, 985.13 and 397.37 is: 596.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.74 : 985.13 = 397.37 : x
  2. Step 2: Convert to fraction form
    656.74/985.13 = 397.37/x
  3. Step 3: Cross multiply
    656.74x = 985.13 × 397.37
  4. Step 4: Simplify right side
    656.74x = 391,463.07
  5. Step 5: Solve for x
    x = 391,463.07/656.74
  6. Step 6: Final answer
    x = 596.07

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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.