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Finding the Fourth Proportional to 530.80, 796.47 and 311.74

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Solution

The fourth proportional to 530.80, 796.47 and 311.74 is: 467.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.80 : 796.47 = 311.74 : x
  2. Step 2: Convert to fraction form
    530.80/796.47 = 311.74/x
  3. Step 3: Cross multiply
    530.80x = 796.47 × 311.74
  4. Step 4: Simplify right side
    530.80x = 248,291.56
  5. Step 5: Solve for x
    x = 248,291.56/530.80
  6. Step 6: Final answer
    x = 467.77

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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.