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Finding the Fourth Proportional to 678.21, 1,017.28 and 444.48

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Solution

The fourth proportional to 678.21, 1,017.28 and 444.48 is: 666.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.21 : 1,017.28 = 444.48 : x
  2. Step 2: Convert to fraction form
    678.21/1,017.28 = 444.48/x
  3. Step 3: Cross multiply
    678.21x = 1,017.28 × 444.48
  4. Step 4: Simplify right side
    678.21x = 452,160.61
  5. Step 5: Solve for x
    x = 452,160.61/678.21
  6. Step 6: Final answer
    x = 666.70

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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.