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Finding the Fourth Proportional to 945.57, 1,418.69 and 506.35

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Solution

The fourth proportional to 945.57, 1,418.69 and 506.35 is: 759.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.57 : 1,418.69 = 506.35 : x
  2. Step 2: Convert to fraction form
    945.57/1,418.69 = 506.35/x
  3. Step 3: Cross multiply
    945.57x = 1,418.69 × 506.35
  4. Step 4: Simplify right side
    945.57x = 718,347.60
  5. Step 5: Solve for x
    x = 718,347.60/945.57
  6. Step 6: Final answer
    x = 759.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.