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Finding the Fourth Proportional to 866.84, 1,300.28 and 456.80

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Solution

The fourth proportional to 866.84, 1,300.28 and 456.80 is: 685.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.84 : 1,300.28 = 456.80 : x
  2. Step 2: Convert to fraction form
    866.84/1,300.28 = 456.80/x
  3. Step 3: Cross multiply
    866.84x = 1,300.28 × 456.80
  4. Step 4: Simplify right side
    866.84x = 593,967.90
  5. Step 5: Solve for x
    x = 593,967.90/866.84
  6. Step 6: Final answer
    x = 685.21

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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.