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Finding the Fourth Proportional to 1,237.51, 1,856.70 and 415.78

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Solution

The fourth proportional to 1,237.51, 1,856.70 and 415.78 is: 623.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.51 : 1,856.70 = 415.78 : x
  2. Step 2: Convert to fraction form
    1,237.51/1,856.70 = 415.78/x
  3. Step 3: Cross multiply
    1,237.51x = 1,856.70 × 415.78
  4. Step 4: Simplify right side
    1,237.51x = 771,974.08
  5. Step 5: Solve for x
    x = 771,974.08/1,237.51
  6. Step 6: Final answer
    x = 623.81

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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.