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Finding the Fourth Proportional to 1,043.21, 1,438.83 and 670.28

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Solution

The fourth proportional to 1,043.21, 1,438.83 and 670.28 is: 924.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.21 : 1,438.83 = 670.28 : x
  2. Step 2: Convert to fraction form
    1,043.21/1,438.83 = 670.28/x
  3. Step 3: Cross multiply
    1,043.21x = 1,438.83 × 670.28
  4. Step 4: Simplify right side
    1,043.21x = 964,411.78
  5. Step 5: Solve for x
    x = 964,411.78/1,043.21
  6. Step 6: Final answer
    x = 924.46

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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.