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Finding the Fourth Proportional to 945.42, 1,304.80 and 552.45

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Solution

The fourth proportional to 945.42, 1,304.80 and 552.45 is: 762.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.42 : 1,304.80 = 552.45 : x
  2. Step 2: Convert to fraction form
    945.42/1,304.80 = 552.45/x
  3. Step 3: Cross multiply
    945.42x = 1,304.80 × 552.45
  4. Step 4: Simplify right side
    945.42x = 720,828.49
  5. Step 5: Solve for x
    x = 720,828.49/945.42
  6. Step 6: Final answer
    x = 762.44

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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.