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Finding the Fourth Proportional to 677.16, 1,015.02 and 311.64

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Solution

The fourth proportional to 677.16, 1,015.02 and 311.64 is: 467.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.16 : 1,015.02 = 311.64 : x
  2. Step 2: Convert to fraction form
    677.16/1,015.02 = 311.64/x
  3. Step 3: Cross multiply
    677.16x = 1,015.02 × 311.64
  4. Step 4: Simplify right side
    677.16x = 316,320.83
  5. Step 5: Solve for x
    x = 316,320.83/677.16
  6. Step 6: Final answer
    x = 467.13

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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.