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Finding the Fourth Proportional to 1,237.61, 1,855.53 and 620.87

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Solution

The fourth proportional to 1,237.61, 1,855.53 and 620.87 is: 930.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.61 : 1,855.53 = 620.87 : x
  2. Step 2: Convert to fraction form
    1,237.61/1,855.53 = 620.87/x
  3. Step 3: Cross multiply
    1,237.61x = 1,855.53 × 620.87
  4. Step 4: Simplify right side
    1,237.61x = 1,152,033.63
  5. Step 5: Solve for x
    x = 1,152,033.63/1,237.61
  6. Step 6: Final answer
    x = 930.86

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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.