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Finding the Fourth Proportional to 1,491.27, 2,235.02 and 761.06

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Solution

The fourth proportional to 1,491.27, 2,235.02 and 761.06 is: 1,140.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.27 : 2,235.02 = 761.06 : x
  2. Step 2: Convert to fraction form
    1,491.27/2,235.02 = 761.06/x
  3. Step 3: Cross multiply
    1,491.27x = 2,235.02 × 761.06
  4. Step 4: Simplify right side
    1,491.27x = 1,700,969.34
  5. Step 5: Solve for x
    x = 1,700,969.34/1,491.27
  6. Step 6: Final answer
    x = 1,140.62

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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.