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Finding the Fourth Proportional to 945.03, 1,304.46 and 646.46

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Solution

The fourth proportional to 945.03, 1,304.46 and 646.46 is: 892.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.03 : 1,304.46 = 646.46 : x
  2. Step 2: Convert to fraction form
    945.03/1,304.46 = 646.46/x
  3. Step 3: Cross multiply
    945.03x = 1,304.46 × 646.46
  4. Step 4: Simplify right side
    945.03x = 843,274.69
  5. Step 5: Solve for x
    x = 843,274.69/945.03
  6. Step 6: Final answer
    x = 892.33

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Double scale
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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.