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Finding the Fourth Proportional to 1,000.82, 1,491.18 and 944.94

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Solution

The fourth proportional to 1,000.82, 1,491.18 and 944.94 is: 1,407.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.82 : 1,491.18 = 944.94 : x
  2. Step 2: Convert to fraction form
    1,000.82/1,491.18 = 944.94/x
  3. Step 3: Cross multiply
    1,000.82x = 1,491.18 × 944.94
  4. Step 4: Simplify right side
    1,000.82x = 1,409,075.63
  5. Step 5: Solve for x
    x = 1,409,075.63/1,000.82
  6. Step 6: Final answer
    x = 1,407.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.