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Finding the Fourth Proportional to 960.83, 1,434.77 and 955.07

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Solution

The fourth proportional to 960.83, 1,434.77 and 955.07 is: 1,426.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.83 : 1,434.77 = 955.07 : x
  2. Step 2: Convert to fraction form
    960.83/1,434.77 = 955.07/x
  3. Step 3: Cross multiply
    960.83x = 1,434.77 × 955.07
  4. Step 4: Simplify right side
    960.83x = 1,370,301.00
  5. Step 5: Solve for x
    x = 1,370,301.00/960.83
  6. Step 6: Final answer
    x = 1,426.17

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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.