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Finding the Fourth Proportional to 960.05, 1,430.04 and 947.29

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Solution

The fourth proportional to 960.05, 1,430.04 and 947.29 is: 1,411.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.05 : 1,430.04 = 947.29 : x
  2. Step 2: Convert to fraction form
    960.05/1,430.04 = 947.29/x
  3. Step 3: Cross multiply
    960.05x = 1,430.04 × 947.29
  4. Step 4: Simplify right side
    960.05x = 1,354,662.59
  5. Step 5: Solve for x
    x = 1,354,662.59/960.05
  6. Step 6: Final answer
    x = 1,411.04

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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.