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Finding the Fourth Proportional to 461.70, 691.20 and 448.20

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Solution

The fourth proportional to 461.70, 691.20 and 448.20 is: 670.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.70 : 691.20 = 448.20 : x
  2. Step 2: Convert to fraction form
    461.70/691.20 = 448.20/x
  3. Step 3: Cross multiply
    461.70x = 691.20 × 448.20
  4. Step 4: Simplify right side
    461.70x = 309,795.84
  5. Step 5: Solve for x
    x = 309,795.84/461.70
  6. Step 6: Final answer
    x = 670.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.