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Finding the Fourth Proportional to 945.50, 1,304.85 and 547.23

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Solution

The fourth proportional to 945.50, 1,304.85 and 547.23 is: 755.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.50 : 1,304.85 = 547.23 : x
  2. Step 2: Convert to fraction form
    945.50/1,304.85 = 547.23/x
  3. Step 3: Cross multiply
    945.50x = 1,304.85 × 547.23
  4. Step 4: Simplify right side
    945.50x = 714,053.07
  5. Step 5: Solve for x
    x = 714,053.07/945.50
  6. Step 6: Final answer
    x = 755.22

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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.