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Finding the Fourth Proportional to 656.31, 905.13 and 497.19

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Solution

The fourth proportional to 656.31, 905.13 and 497.19 is: 685.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.31 : 905.13 = 497.19 : x
  2. Step 2: Convert to fraction form
    656.31/905.13 = 497.19/x
  3. Step 3: Cross multiply
    656.31x = 905.13 × 497.19
  4. Step 4: Simplify right side
    656.31x = 450,021.58
  5. Step 5: Solve for x
    x = 450,021.58/656.31
  6. Step 6: Final answer
    x = 685.68

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Double scale
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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.