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Finding the Fourth Proportional to 688.86, 950.10 and 449.10

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Solution

The fourth proportional to 688.86, 950.10 and 449.10 is: 619.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.86 : 950.10 = 449.10 : x
  2. Step 2: Convert to fraction form
    688.86/950.10 = 449.10/x
  3. Step 3: Cross multiply
    688.86x = 950.10 × 449.10
  4. Step 4: Simplify right side
    688.86x = 426,689.91
  5. Step 5: Solve for x
    x = 426,689.91/688.86
  6. Step 6: Final answer
    x = 619.41

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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.