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Finding the Fourth Proportional to 1,237.78, 1,856.67 and 497.73

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Solution

The fourth proportional to 1,237.78, 1,856.67 and 497.73 is: 746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.78 : 1,856.67 = 497.73 : x
  2. Step 2: Convert to fraction form
    1,237.78/1,856.67 = 497.73/x
  3. Step 3: Cross multiply
    1,237.78x = 1,856.67 × 497.73
  4. Step 4: Simplify right side
    1,237.78x = 924,120.36
  5. Step 5: Solve for x
    x = 924,120.36/1,237.78
  6. Step 6: Final answer
    x = 746.60

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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.