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Finding the Fourth Proportional to 656.47, 905.93 and 357.71

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Solution

The fourth proportional to 656.47, 905.93 and 357.71 is: 493.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.47 : 905.93 = 357.71 : x
  2. Step 2: Convert to fraction form
    656.47/905.93 = 357.71/x
  3. Step 3: Cross multiply
    656.47x = 905.93 × 357.71
  4. Step 4: Simplify right side
    656.47x = 324,061.59
  5. Step 5: Solve for x
    x = 324,061.59/656.47
  6. Step 6: Final answer
    x = 493.65

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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.