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Finding the Fourth Proportional to 1,070.52, 1,606.11 and 960.13

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Solution

The fourth proportional to 1,070.52, 1,606.11 and 960.13 is: 1,440.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.52 : 1,606.11 = 960.13 : x
  2. Step 2: Convert to fraction form
    1,070.52/1,606.11 = 960.13/x
  3. Step 3: Cross multiply
    1,070.52x = 1,606.11 × 960.13
  4. Step 4: Simplify right side
    1,070.52x = 1,542,069.59
  5. Step 5: Solve for x
    x = 1,542,069.59/1,070.52
  6. Step 6: Final answer
    x = 1,440.49

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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.