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Finding the Fourth Proportional to 1,043.97, 1,438.97 and 707.75

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Solution

The fourth proportional to 1,043.97, 1,438.97 and 707.75 is: 975.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.97 : 1,438.97 = 707.75 : x
  2. Step 2: Convert to fraction form
    1,043.97/1,438.97 = 707.75/x
  3. Step 3: Cross multiply
    1,043.97x = 1,438.97 × 707.75
  4. Step 4: Simplify right side
    1,043.97x = 1,018,431.02
  5. Step 5: Solve for x
    x = 1,018,431.02/1,043.97
  6. Step 6: Final answer
    x = 975.54

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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.