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Finding the Fourth Proportional to 1,760.66, 2,429.61 and 963.93

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Solution

The fourth proportional to 1,760.66, 2,429.61 and 963.93 is: 1,330.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.66 : 2,429.61 = 963.93 : x
  2. Step 2: Convert to fraction form
    1,760.66/2,429.61 = 963.93/x
  3. Step 3: Cross multiply
    1,760.66x = 2,429.61 × 963.93
  4. Step 4: Simplify right side
    1,760.66x = 2,341,973.97
  5. Step 5: Solve for x
    x = 2,341,973.97/1,760.66
  6. Step 6: Final answer
    x = 1,330.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.