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Finding the Fourth Proportional to 1,036.59, 1,429.76 and 704.43

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Solution

The fourth proportional to 1,036.59, 1,429.76 and 704.43 is: 971.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.59 : 1,429.76 = 704.43 : x
  2. Step 2: Convert to fraction form
    1,036.59/1,429.76 = 704.43/x
  3. Step 3: Cross multiply
    1,036.59x = 1,429.76 × 704.43
  4. Step 4: Simplify right side
    1,036.59x = 1,007,165.84
  5. Step 5: Solve for x
    x = 1,007,165.84/1,036.59
  6. Step 6: Final answer
    x = 971.61

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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.