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Finding the Fourth Proportional to 1,043.92, 1,440.48 and 601.75

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Solution

The fourth proportional to 1,043.92, 1,440.48 and 601.75 is: 830.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.92 : 1,440.48 = 601.75 : x
  2. Step 2: Convert to fraction form
    1,043.92/1,440.48 = 601.75/x
  3. Step 3: Cross multiply
    1,043.92x = 1,440.48 × 601.75
  4. Step 4: Simplify right side
    1,043.92x = 866,808.84
  5. Step 5: Solve for x
    x = 866,808.84/1,043.92
  6. Step 6: Final answer
    x = 830.34

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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.