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Finding the Fourth Proportional to 677.70, 1,016.93 and 312.49

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Solution

The fourth proportional to 677.70, 1,016.93 and 312.49 is: 468.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.70 : 1,016.93 = 312.49 : x
  2. Step 2: Convert to fraction form
    677.70/1,016.93 = 312.49/x
  3. Step 3: Cross multiply
    677.70x = 1,016.93 × 312.49
  4. Step 4: Simplify right side
    677.70x = 317,777.64
  5. Step 5: Solve for x
    x = 317,777.64/677.70
  6. Step 6: Final answer
    x = 468.91

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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.