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Finding the Fourth Proportional to 1,005.81, 1,509 and 749.17

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Solution

The fourth proportional to 1,005.81, 1,509 and 749.17 is: 1,123.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.81 : 1,509 = 749.17 : x
  2. Step 2: Convert to fraction form
    1,005.81/1,509 = 749.17/x
  3. Step 3: Cross multiply
    1,005.81x = 1,509 × 749.17
  4. Step 4: Simplify right side
    1,005.81x = 1,130,497.53
  5. Step 5: Solve for x
    x = 1,130,497.53/1,005.81
  6. Step 6: Final answer
    x = 1,123.97

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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.