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Finding the Fourth Proportional to 656.86, 906.92 and 499.67

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Solution

The fourth proportional to 656.86, 906.92 and 499.67 is: 689.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.86 : 906.92 = 499.67 : x
  2. Step 2: Convert to fraction form
    656.86/906.92 = 499.67/x
  3. Step 3: Cross multiply
    656.86x = 906.92 × 499.67
  4. Step 4: Simplify right side
    656.86x = 453,160.36
  5. Step 5: Solve for x
    x = 453,160.36/656.86
  6. Step 6: Final answer
    x = 689.89

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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.