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Finding the Fourth Proportional to 1,061.45, 1,583.66 and 905.59

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Solution

The fourth proportional to 1,061.45, 1,583.66 and 905.59 is: 1,351.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.45 : 1,583.66 = 905.59 : x
  2. Step 2: Convert to fraction form
    1,061.45/1,583.66 = 905.59/x
  3. Step 3: Cross multiply
    1,061.45x = 1,583.66 × 905.59
  4. Step 4: Simplify right side
    1,061.45x = 1,434,138.17
  5. Step 5: Solve for x
    x = 1,434,138.17/1,061.45
  6. Step 6: Final answer
    x = 1,351.12

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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.