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Finding the Fourth Proportional to 677.30, 1,015.60 and 311.77

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Solution

The fourth proportional to 677.30, 1,015.60 and 311.77 is: 467.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.30 : 1,015.60 = 311.77 : x
  2. Step 2: Convert to fraction form
    677.30/1,015.60 = 311.77/x
  3. Step 3: Cross multiply
    677.30x = 1,015.60 × 311.77
  4. Step 4: Simplify right side
    677.30x = 316,628.10
  5. Step 5: Solve for x
    x = 316,628.10/677.30
  6. Step 6: Final answer
    x = 467.49

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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.