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Finding the Fourth Proportional to 462.49, 689.95 and 449.93

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Solution

The fourth proportional to 462.49, 689.95 and 449.93 is: 671.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.49 : 689.95 = 449.93 : x
  2. Step 2: Convert to fraction form
    462.49/689.95 = 449.93/x
  3. Step 3: Cross multiply
    462.49x = 689.95 × 449.93
  4. Step 4: Simplify right side
    462.49x = 310,429.20
  5. Step 5: Solve for x
    x = 310,429.20/462.49
  6. Step 6: Final answer
    x = 671.21

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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.