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Finding the Fourth Proportional to 688.91, 950.66 and 409.13

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Solution

The fourth proportional to 688.91, 950.66 and 409.13 is: 564.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.91 : 950.66 = 409.13 : x
  2. Step 2: Convert to fraction form
    688.91/950.66 = 409.13/x
  3. Step 3: Cross multiply
    688.91x = 950.66 × 409.13
  4. Step 4: Simplify right side
    688.91x = 388,941.48
  5. Step 5: Solve for x
    x = 388,941.48/688.91
  6. Step 6: Final answer
    x = 564.58

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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.