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Finding the Fourth Proportional to 463.90, 688.66 and 444.46

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Solution

The fourth proportional to 463.90, 688.66 and 444.46 is: 659.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.90 : 688.66 = 444.46 : x
  2. Step 2: Convert to fraction form
    463.90/688.66 = 444.46/x
  3. Step 3: Cross multiply
    463.90x = 688.66 × 444.46
  4. Step 4: Simplify right side
    463.90x = 306,081.82
  5. Step 5: Solve for x
    x = 306,081.82/463.90
  6. Step 6: Final answer
    x = 659.80

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.