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Finding the Fourth Proportional to 1,265.46, 1,898.91 and 496.50

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Solution

The fourth proportional to 1,265.46, 1,898.91 and 496.50 is: 745.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.46 : 1,898.91 = 496.50 : x
  2. Step 2: Convert to fraction form
    1,265.46/1,898.91 = 496.50/x
  3. Step 3: Cross multiply
    1,265.46x = 1,898.91 × 496.50
  4. Step 4: Simplify right side
    1,265.46x = 942,808.82
  5. Step 5: Solve for x
    x = 942,808.82/1,265.46
  6. Step 6: Final answer
    x = 745.03

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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.