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Finding the Fourth Proportional to 678.66, 1,015.92 and 435.42

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Solution

The fourth proportional to 678.66, 1,015.92 and 435.42 is: 651.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.66 : 1,015.92 = 435.42 : x
  2. Step 2: Convert to fraction form
    678.66/1,015.92 = 435.42/x
  3. Step 3: Cross multiply
    678.66x = 1,015.92 × 435.42
  4. Step 4: Simplify right side
    678.66x = 442,351.89
  5. Step 5: Solve for x
    x = 442,351.89/678.66
  6. Step 6: Final answer
    x = 651.80

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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.