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Finding the Fourth Proportional to 678.76, 1,015.40 and 461.88

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Solution

The fourth proportional to 678.76, 1,015.40 and 461.88 is: 690.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.76 : 1,015.40 = 461.88 : x
  2. Step 2: Convert to fraction form
    678.76/1,015.40 = 461.88/x
  3. Step 3: Cross multiply
    678.76x = 1,015.40 × 461.88
  4. Step 4: Simplify right side
    678.76x = 468,994.11
  5. Step 5: Solve for x
    x = 468,994.11/678.76
  6. Step 6: Final answer
    x = 690.96

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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.