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Finding the Fourth Proportional to 937.51, 1,406.37 and 312.73

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Solution

The fourth proportional to 937.51, 1,406.37 and 312.73 is: 469.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.51 : 1,406.37 = 312.73 : x
  2. Step 2: Convert to fraction form
    937.51/1,406.37 = 312.73/x
  3. Step 3: Cross multiply
    937.51x = 1,406.37 × 312.73
  4. Step 4: Simplify right side
    937.51x = 439,814.09
  5. Step 5: Solve for x
    x = 439,814.09/937.51
  6. Step 6: Final answer
    x = 469.13

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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.