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Finding the Fourth Proportional to 706.72, 973.92 and 499.36

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Solution

The fourth proportional to 706.72, 973.92 and 499.36 is: 688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.72 : 973.92 = 499.36 : x
  2. Step 2: Convert to fraction form
    706.72/973.92 = 499.36/x
  3. Step 3: Cross multiply
    706.72x = 973.92 × 499.36
  4. Step 4: Simplify right side
    706.72x = 486,336.69
  5. Step 5: Solve for x
    x = 486,336.69/706.72
  6. Step 6: Final answer
    x = 688.16

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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.