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Finding the Fourth Proportional to 965.90, 1,332.32 and 729.48

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Solution

The fourth proportional to 965.90, 1,332.32 and 729.48 is: 1,006.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.90 : 1,332.32 = 729.48 : x
  2. Step 2: Convert to fraction form
    965.90/1,332.32 = 729.48/x
  3. Step 3: Cross multiply
    965.90x = 1,332.32 × 729.48
  4. Step 4: Simplify right side
    965.90x = 971,900.79
  5. Step 5: Solve for x
    x = 971,900.79/965.90
  6. Step 6: Final answer
    x = 1,006.21

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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.