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Finding the Fourth Proportional to 1,265.76, 1,899.28 and 536

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Solution

The fourth proportional to 1,265.76, 1,899.28 and 536 is: 804.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.76 : 1,899.28 = 536 : x
  2. Step 2: Convert to fraction form
    1,265.76/1,899.28 = 536/x
  3. Step 3: Cross multiply
    1,265.76x = 1,899.28 × 536
  4. Step 4: Simplify right side
    1,265.76x = 1,018,014.08
  5. Step 5: Solve for x
    x = 1,018,014.08/1,265.76
  6. Step 6: Final answer
    x = 804.27

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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.