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Finding the Fourth Proportional to 1,042.54, 1,438.56 and 669.88

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Solution

The fourth proportional to 1,042.54, 1,438.56 and 669.88 is: 924.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.54 : 1,438.56 = 669.88 : x
  2. Step 2: Convert to fraction form
    1,042.54/1,438.56 = 669.88/x
  3. Step 3: Cross multiply
    1,042.54x = 1,438.56 × 669.88
  4. Step 4: Simplify right side
    1,042.54x = 963,662.57
  5. Step 5: Solve for x
    x = 963,662.57/1,042.54
  6. Step 6: Final answer
    x = 924.34

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1.5x scale

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.