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Finding the Fourth Proportional to 945.29, 1,304.05 and 613.59

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Solution

The fourth proportional to 945.29, 1,304.05 and 613.59 is: 846.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.29 : 1,304.05 = 613.59 : x
  2. Step 2: Convert to fraction form
    945.29/1,304.05 = 613.59/x
  3. Step 3: Cross multiply
    945.29x = 1,304.05 × 613.59
  4. Step 4: Simplify right side
    945.29x = 800,154.10
  5. Step 5: Solve for x
    x = 800,154.10/945.29
  6. Step 6: Final answer
    x = 846.47

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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.