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Finding the Fourth Proportional to 945.29, 1,417.39 and 696.22

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Solution

The fourth proportional to 945.29, 1,417.39 and 696.22 is: 1,043.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.29 : 1,417.39 = 696.22 : x
  2. Step 2: Convert to fraction form
    945.29/1,417.39 = 696.22/x
  3. Step 3: Cross multiply
    945.29x = 1,417.39 × 696.22
  4. Step 4: Simplify right side
    945.29x = 986,809.98
  5. Step 5: Solve for x
    x = 986,809.98/945.29
  6. Step 6: Final answer
    x = 1,043.92

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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.