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Finding the Fourth Proportional to 1,047.43, 1,445.45 and 654.38

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Solution

The fourth proportional to 1,047.43, 1,445.45 and 654.38 is: 903.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.43 : 1,445.45 = 654.38 : x
  2. Step 2: Convert to fraction form
    1,047.43/1,445.45 = 654.38/x
  3. Step 3: Cross multiply
    1,047.43x = 1,445.45 × 654.38
  4. Step 4: Simplify right side
    1,047.43x = 945,868.49
  5. Step 5: Solve for x
    x = 945,868.49/1,047.43
  6. Step 6: Final answer
    x = 903.04

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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.