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Finding the Fourth Proportional to 463.51, 689.00 and 449.69

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Solution

The fourth proportional to 463.51, 689.00 and 449.69 is: 668.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.51 : 689.00 = 449.69 : x
  2. Step 2: Convert to fraction form
    463.51/689.00 = 449.69/x
  3. Step 3: Cross multiply
    463.51x = 689.00 × 449.69
  4. Step 4: Simplify right side
    463.51x = 309,830.72
  5. Step 5: Solve for x
    x = 309,830.72/463.51
  6. Step 6: Final answer
    x = 668.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.