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Finding the Fourth Proportional to 656.83, 906.86 and 457.61

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Solution

The fourth proportional to 656.83, 906.86 and 457.61 is: 631.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.83 : 906.86 = 457.61 : x
  2. Step 2: Convert to fraction form
    656.83/906.86 = 457.61/x
  3. Step 3: Cross multiply
    656.83x = 906.86 × 457.61
  4. Step 4: Simplify right side
    656.83x = 414,984.81
  5. Step 5: Solve for x
    x = 414,984.81/656.83
  6. Step 6: Final answer
    x = 631.80

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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.