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Finding the Fourth Proportional to 1,237.97, 1,856.28 and 508.07

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Solution

The fourth proportional to 1,237.97, 1,856.28 and 508.07 is: 761.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.97 : 1,856.28 = 508.07 : x
  2. Step 2: Convert to fraction form
    1,237.97/1,856.28 = 508.07/x
  3. Step 3: Cross multiply
    1,237.97x = 1,856.28 × 508.07
  4. Step 4: Simplify right side
    1,237.97x = 943,120.18
  5. Step 5: Solve for x
    x = 943,120.18/1,237.97
  6. Step 6: Final answer
    x = 761.83

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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.