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Finding the Fourth Proportional to 1,237.85, 1,856.30 and 415.92

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Solution

The fourth proportional to 1,237.85, 1,856.30 and 415.92 is: 623.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.85 : 1,856.30 = 415.92 : x
  2. Step 2: Convert to fraction form
    1,237.85/1,856.30 = 415.92/x
  3. Step 3: Cross multiply
    1,237.85x = 1,856.30 × 415.92
  4. Step 4: Simplify right side
    1,237.85x = 772,070.22
  5. Step 5: Solve for x
    x = 772,070.22/1,237.85
  6. Step 6: Final answer
    x = 623.72

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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.