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Finding the Fourth Proportional to 937.70, 1,406.62 and 313.09

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Solution

The fourth proportional to 937.70, 1,406.62 and 313.09 is: 469.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.70 : 1,406.62 = 313.09 : x
  2. Step 2: Convert to fraction form
    937.70/1,406.62 = 313.09/x
  3. Step 3: Cross multiply
    937.70x = 1,406.62 × 313.09
  4. Step 4: Simplify right side
    937.70x = 440,397.73
  5. Step 5: Solve for x
    x = 440,397.73/937.70
  6. Step 6: Final answer
    x = 469.66

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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.