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Finding the Fourth Proportional to 461.49, 688.46 and 448.93

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Solution

The fourth proportional to 461.49, 688.46 and 448.93 is: 669.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.49 : 688.46 = 448.93 : x
  2. Step 2: Convert to fraction form
    461.49/688.46 = 448.93/x
  3. Step 3: Cross multiply
    461.49x = 688.46 × 448.93
  4. Step 4: Simplify right side
    461.49x = 309,070.35
  5. Step 5: Solve for x
    x = 309,070.35/461.49
  6. Step 6: Final answer
    x = 669.72

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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.