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Finding the Fourth Proportional to 1,237.21, 1,855.82 and 312.76

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Solution

The fourth proportional to 1,237.21, 1,855.82 and 312.76 is: 469.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.21 : 1,855.82 = 312.76 : x
  2. Step 2: Convert to fraction form
    1,237.21/1,855.82 = 312.76/x
  3. Step 3: Cross multiply
    1,237.21x = 1,855.82 × 312.76
  4. Step 4: Simplify right side
    1,237.21x = 580,426.26
  5. Step 5: Solve for x
    x = 580,426.26/1,237.21
  6. Step 6: Final answer
    x = 469.14

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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.