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Finding the Fourth Proportional to 1,267.31, 1,901.12 and 536.70

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Solution

The fourth proportional to 1,267.31, 1,901.12 and 536.70 is: 805.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.31 : 1,901.12 = 536.70 : x
  2. Step 2: Convert to fraction form
    1,267.31/1,901.12 = 536.70/x
  3. Step 3: Cross multiply
    1,267.31x = 1,901.12 × 536.70
  4. Step 4: Simplify right side
    1,267.31x = 1,020,328.42
  5. Step 5: Solve for x
    x = 1,020,328.42/1,267.31
  6. Step 6: Final answer
    x = 805.12

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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.